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B. SIMON'S COMPLETE LIST OF PUBLICATIONS


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PAPERS

[1] Convergence of regularized, renormalized perturbation series for super-renormalizable field theories, Nuovo Cimento 59A (1969), 199-214  art.gif (1199 bytes)

[2] Some pictorial compactifications of the real line, Amer. Math. Monthly 76 (1969), 536-538  art.gif (1199 bytes) msn.gif (1426 bytes)

[3] On the growth of the number of bound state with increase in potential strength, J. Math. Phys. 10 (1969), 1123-1126  art.gif (1199 bytes)msn.gif (1426 bytes)

[4] On the growth of the ground state binding energy with increase in potential strength, J. Math. Phys. 10 (1969), 1415-1421  art.gif (1199 bytes)msn.gif (1426 bytes) art.gif (1199 bytes)

[5] On positive eigenvalues of one-body Schrödinger operators, Commun. Pure Appl. Math. 22 (1969), 531-538  art.gif (1199 bytes) msn.gif (1426 bytes)art.gif (1199 bytes)

[6] (with J.J. Loeffel, A. Martin and A.S. Wightman) Padé approximants and the anharmonic oscillator, Phys. Lett. 30B (1969), 656-658  art.gif (1199 bytes) art.gif (1199 bytes)

[7] Coupling constant analyticity for the anharmonic oscillator (with an appendix by A. Dicke), Ann. Phys. 58 (1970), 76-136  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[8] Some comments on the Jin-Martin lower bound, Phys. Rev. D1 (1970), 1240-1241  art.gif (1199 bytes)msn.gif (1426 bytes) art.gif (1199 bytes)

[9] On the infinitude or finiteness of the number of bound states of an N-body quantum system, I, Helv. Phys. Acta 43 (1970), 607-630  art.gif (1199 bytes)msn.gif (1426 bytes)

[10] (with S. Graffi and V. Grecchi) Borel summability: Application to the anharmonic oscillator, Phys. Lett. 32B (1970), 631-634  art.gif (1199 bytes)msn.gif (1426 bytes)art.gif (1199 bytes)

[11] Borel summability of the ground state energy in spatially cutoff (\phi^4)_2, Phys. Rev. Lett. 25 (1970), 1583-1586  art.gif (1199 bytes)msn.gif (1426 bytes) art.gif (1199 bytes)

[12] Distributions and their Hermite expansions, J. Math. Phys. 12 (1970), 140-148  art.gif (1199 bytes)msn.gif (1426 bytes) art.gif (1199 bytes)

[13] Hamiltonians defined as quadratic forms, Commun. Math. Phys. 21 (1971), 192-210  art.gif (1199 bytes)msn.gif (1426 bytes) art.gif (1199 bytes)

[14] The theory of semi-analytic vectors: A new proof of a theorem of Masson and McClary, Indiana Math. J. 20 (1971), 1145-1151  art.gif (1199 bytes)msn.gif (1426 bytes)art.gif (1199 bytes)

[15] Wave operators for classical particle scattering, Commun. Math. Phys. 23 (1971), 37-48  art.gif (1199 bytes)msn.gif (1426 bytes) art.gif (1199 bytes)

[16] (with R. Hoegh-Krohn) Hypercontractive semigroups and two-dimensional self-coupled Bose fields, J. Funct. Anal. 9 (1972),121-180  art.gif (1199 bytes)msn.gif (1426 bytes) art.gif (1199 bytes)

[17] Determination of eigenvalues by divergent perturbation series, Adv. in Math. 7 (1971), 240-253  art.gif (1199 bytes)msn.gif (1426 bytes)art.gif (1199 bytes)

[18] (with L. Rosen) The (\phi^{2n})_2 field Hamiltonian for complex coupling constant, Trans. Amer. Math. Soc. 165 (1972), 365-379  art.gif (1199 bytes)msn.gif (1426 bytes) art.gif (1199 bytes)

[19] Convergence of time-dependent perturbation theory for autoionizing states of atoms, Phys. Lett. A36 (1971), 23-24  art.gif (1199 bytes)msn.gif (1426 bytes)art.gif (1199 bytes)

[20] Resonances in n-body quantum systems with dilatation analytic potentials and the foundations of time-dependent perturbation theory, Ann. of Math. 97 (1973), 247-274  art.gif (1199 bytes)msn.gif (1426 bytes) art.gif (1199 bytes)

[21] On the Glimm-Jaffe linear lower bound in P(\phi)_2 field theories, J. Funct. Anal. 10 (1972), 251-258  art.gif (1199 bytes)msn.gif (1426 bytes)art.gif (1199 bytes)

[22] A remark on groups with the fixed point property, Proc. Amer. Math. Soc. 32 (1972), 623-624  art.gif (1199 bytes)msn.gif (1426 bytes) art.gif (1199 bytes)

[23] Continuum embedded eigenvalues in a spatially cutoff P(\phi)_2 field theory, Proc. Amer. Math. Soc. 35 (1972), 223-226 art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[24] Essential self-adjointness of Schrödinger operators with positive potentials, Math. Ann. 201 (1973), 211-220  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[25] Quadratic form techniques and the Balslev-Combes theorem, Commun. Math. Phys. 27 (1972), 1-9  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[26] (with M. Reed) A spectral mapping theorem for tensor products of unbounded operators, Bull. Amer. Math. Soc. 78 (1972), 730-733  art.gif (1199 bytes) msn.gif (1426 bytes)art.gif (1199 bytes)

[27] (with F. Guerra and L. Rosen) Nelson's symmetry and the infinite volume behavior of the vacuum in P(\phi)_2, Commun. Math. Phys. 27 (1972), 10-22 art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[28] Summability methods, the strong asymptotic condition, and unitarity in quantum field theory, Phys. Rev. Lett. 28 (1972), 1145-1146  art.gif (1199 bytes) art.gif (1199 bytes)

[29] Uniform cross norms, Pacific J. Math. 46 (1973), 555-560  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[30] (with M. Reed) Tensor products of closed operators on Banach spaces, J. Funct. Anal. 13 (1973), 107-124  art.gif (1199 bytes) msn.gif (1426 bytes)art.gif (1199 bytes)

[31] (with F. Guerra and L. Rosen) The vacuum energy for P(\phi)_2: Infinite volume limit and coupling constant dependence, Commun. Math. Phys. 29 (1973), 233-247  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[32] (with F. Guerra and L. Rosen) Statistical mechanical results in the P(\phi)_2 quantum field theory, Phys. Lett. 44B (1973), 102-104  art.gif (1199 bytes) art.gif (1199 bytes)

[33] (with F. Guerra and L. Rosen) The P(\phi)_2 Euclidean quantum field theory as classical statistical mechanics, Ann. of Math. 101 (1975), 111-189  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)
Ann. of Math.
101 (1975), 191-259 art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[34] (with F. Guerra and L. Rosen) Boundary conditions for the P(\phi)_2 Euclidean field, Ann. Inst. H. Poincaré 25A (1976), 231-334.  art.gif (1199 bytes) msn.gif (1426 bytes)art.gif (1199 bytes)

[35] Essential self-adjointness for Schrödinger operators with singular potentials, Arch. Ration. Mech. Anal. 52 (1973), 44-48  art.gif (1199 bytes) msn.gif (1426 bytes)

[36] Ergodic semigroups of positivity preserving self-adjoint operators, J. Funct. Anal. 12 (1973), 335-339  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[37] Correlation inequalities and the mass gap in P(\phi)_2, Commun. Math. Phys. 31 (1973), 127-136  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[38] Schrödinger operators with singular magnetic vector potentials, Math. Z. 131 (1973), 361-370  art.gif (1199 bytes) msn.gif (1426 bytes)art.gif (1199 bytes)

[39] (with E. Lieb) Thomas-Fermi theory revisited, Phys. Rev. Lett. 31 (1973), 681-683 art.gif (1199 bytes) art.gif (1199 bytes)

[40] (with R. Griffiths) Griffiths-Hurst-Sherman inequalities and a Lee-Yang theorem for the (\phi^4)_2 field theory, Phys. Rev. Lett. 30 (1973), 931-933 art.gif (1199 bytes) art.gif (1199 bytes)

[41] Quadratic forms and Klauder's phenomenon: A remark on very singular perturbations, J. Funct. Anal. 14 (1973), 295-298  art.gif (1199 bytes) msn.gif (1426 bytes)art.gif (1199 bytes)

[42] Positivity of the Hamiltonian semigroup and the construction of Euclidean region fields, Helv. Phys. Acta 46 (1973), 686-696  art.gif (1199 bytes) msn.gif (1426 bytes)

[43] Pointwise bounds on eigenfunctions and wave packets in N-body quantum systems, I, Proc. Amer. Math. Soc. 42 (1974), 395-401 art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[44] Absence of positive eigenvalues in a class of multiparticle quantum systems, Math. Ann. 207 (1974), 133-138  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[45] (with E. Lieb) On solutions of the Hartree-Fock problem for atoms and molecules, J. Chem. Phys. 61 (1974), 735-736  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[46] Pointwise bounds on eigenfunctions and wave packets in N-body quantum systems, II, Proc. Amer. Math. Soc. 45 (1974), 454-456  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[47] (with R. Griffiths) The (\phi^4)_2 field theory as a classical Ising model, Commun. Math. Phys. 33 (1973), 145-164  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[48] Correlation inequalities and the mass gap in P(\phi)_2, II. Uniqueness of the vacuum for a class of strongly coupled theories, Ann. of Math. 101 (1975), 260-267  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[49] (with F. Guerra and L. Rosen) The pressure is independent of the boundary conditions in P(\phi)_2, Bull. Amer. Math. Soc. 80 (1974), 1205-1209 art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[50] (with F. Guerra and L. Rosen) Correlation inequalities and the mass gap in P(\phi)_2, III. Mass gap for a class of strongly coupled theories with nonzero external field, Commun. Math. Phys. 41 (1975, 19-32  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[51] Pointwise bounds on eigenfunctions and wave packets in N-body quantum systems, III, Trans. Amer. Math. Soc. 208 (1975), 317-329  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[52] (with J. Rosen) Global support properties of stationary ergodic processes, Duke Math. J. 42 (1975), 51-55  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[53] (with E. Lieb) The Thomas-Fermi theory of atoms, molecules and solids, Adv. in Math. 23 (1977), 22-116. art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[54] (with J. Rosen) Fluctuations in P(\phi)_1  processes, Ann. Prob. 4 (1976), 155-174 art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[55] (with E. Lieb) The Hartree-Fock theory for Coulomb systems, Commun. Math. Phys. 53 (1977), 185-193  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[56] Existence of the scattering matrix for the linearized Boltzmann equation, Commun. Math. Phys. 41 (1975), 99-108  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[57] Operator theory needed in quantum statistical mechanics in boxes, pp. 389-398, Appendix B, in E. Lieb and J. Lebowitz, The constitution of matter, Adv. in Math. 9 (1972), 316-398  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[58] Convergence theorems for entropy, Appendix to E. Lieb and M. Ruskai, Proof of the strong subadditivity of quantum mechanical entropy, J. Math. Phys. 14 (1973), 1938-1941 art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[59] (with W. Faris) Degenerate and non-degenerate ground states for Schrödinger operators, Duke Math. J. 42 (1975), 559-567  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[60] (with E. Seiler) An inequality among determinants, Proc. Natl. Acad. Sc. 72 (1975), 3277-3278 art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[61] (with E. Seiler) On finite mass renormalizations in the two-dimensional Yukawa model, J. Math. Phys. 16 (1975), 2289-2293  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[62] (with E. Seiler) Bounds in the Yukawa_2 quantum field theory: Upper bound on the pressure, Hamiltonian bound and linear lower bound, Commun. Math. Phys. 45 (1975), 99-114 art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[63] (with E. Seiler) Nelson's symmetry and all that in the Yukawa_2 and \phi^4_3 field theories, Ann. Phys. 97 (1976), 470-518  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[64] (with J. Fröhlich and T. Spencer) Phase transitions and continuous symmetry breaking, Phys. Rev. Lett. 36 (1976), 804-806 art.gif (1199 bytes) art.gif (1199 bytes)

[65] (with J. Fröhlich and T. Spencer) Infrared bounds, phase transitions and continuous symmetry breaking, Commun. Math. Phys. 50 (1976), 79-85 art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

 [66] Universal diamagnetism of spinless bose systems, Phys. Rev. Lett. 36 (1976), 1083-1084 art.gif (1199 bytes) art.gif (1199 bytes)

[67] (with F.J. Dyson and E. Lieb) Phase transitions in the quantum Heisenberg model, Phys. Rev. Lett. 37 (1976), 120-123  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[68] (with F.J. Dyson and E. Lieb) Phase transitions in quantum spin systems with isotropic and non-isotropic interactions, J. Statist. Phys. 18 (1978), 335-383  art.gif (1199 bytes) msn.gif (1426 bytes)art.gif (1199 bytes)

[69] A remark on Nelson's best hypercontractive estimates, Proc. Amer. Math. Soc. 55 (1976), 376-378  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[70] The bound state of weakly coupled Schrödinger operators in one and two dimensions, Ann. Phys. 97 (1976), 279-288  art.gif (1199 bytes) msn.gif (1426 bytes)art.gif (1199 bytes)

[71] (with P. Deift) On the decoupling of the finite singularities from the question of asymptotic completeness in two body quantum systems, J. Funct. Anal. 23 (1976), 218-238  art.gif (1199 bytes) msn.gif (1426 bytes)art.gif (1199 bytes)

[72] On the absorption of eigenvalues by continuous spectrum in regular perturbation problems, J. Funct. Anal. 25 (1977), 338-344  art.gif (1199 bytes) msn.gif (1426 bytes)art.gif (1199 bytes)

[73] Analysis with weak trace ideals and the number of bound states of Schrödinger operators, Trans. Amer. Math. Soc. 224 (1976), 367-380  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[74] Notes on infinite determinants of Hilbert space operators, Adv. in Math. 24 (1977), 244-273  art.gif (1199 bytes) msn.gif (1426 bytes)art.gif (1199 bytes)

[75] On the genericity of nonvanishing instability intervals in Hill's equation, Ann. Inst. H. Poincaré A24 (1976), 91-93  art.gif (1199 bytes) msn.gif (1426 bytes)art.gif (1199 bytes)

[76] An abstract Kato's inequality for generators of positivity preserving semigroups, Indiana Math. J. 26 (1977), 1067-1073  art.gif (1199 bytes) msn.gif (1426 bytes)art.gif (1199 bytes)

[77] (with J. Fröhlich) Pure states for general P(\phi)_2 theories: Construction, regularity and variational equality, Ann. of Math. 105 (1977), 493-526  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[78] (with M. Reed) The scattering of classical waves from inhomogeneous media, Math. Z. 155 (1977), 163-168  art.gif (1199 bytes) msn.gif (1426 bytes)art.gif (1199 bytes)

[79] (with J. Avron) Analytic properties of band functions, Ann. Phys. 110 (1978), 85-110  art.gif (1199 bytes) msn.gif (1426 bytes)art.gif (1199 bytes)

[80] (with R. Blankenbecler and M.L. Goldberger) The bound states of weakly coupled long-range one-dimensional quantum Hamiltonians, Ann. Phys. 108 (1977), 69-78   art.gif (1199 bytes) msn.gif (1426 bytes)art.gif (1199 bytes)

[81] A canonical decomposition for quadratic forms with applications to monotone convergence theorems, J. Funct. Anal. 28 (1978), 377-385  art.gif (1199 bytes) msn.gif (1426 bytes)art.gif (1199 bytes)

[82] Lower semicontinuity of positive quadratic forms, Proc. Roy. Soc. Edin. 29 (1977), 267-273  art.gif (1199 bytes) msn.gif (1426 bytes)

[83] (with P. Deift) A time-dependent approach to the completeness of multiparticle quantum systems, Commun. Pure Appl. Math. 30 (1977), 573-583  art.gif (1199 bytes) msn.gif (1426 bytes)art.gif (1199 bytes)

[84] Geometric methods in multiparticle quantum systems, Commun. Math. Phys. 55 (1977), 259-274  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[85] N-body scattering in the two-cluster region, Commun. Math. Phys. 58 (1978), 205-210  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[86] Kato's inequality and the comparison of semi-groups, J. Funct. Anal. 32 (1979), 97-101  art.gif (1199 bytes) msn.gif (1426 bytes)art.gif (1199 bytes)

[87] (with J. Avron and I. Herbst) The Zeeman effect revisited, Phys. Lett. 62A (1977), 214-216  art.gif (1199 bytes) art.gif (1199 bytes)

[88] (with J. Avron and I. Herbst) Formation of negative ions in magnetic fields, Phys. Rev. Lett. 39 (1977), 1068-1070  art.gif (1199 bytes) art.gif (1199 bytes)

[89] (with J. Avron and I. Herbst) Schrödinger operators with magnetic fields, I. General interactions, Duke Math. J. 45 (1978), 847-883  art.gif (1199 bytes) msn.gif (1426 bytes)art.gif (1199 bytes)

[90] (with J. Avron and I. Herbst) Schrodinger operators with magnetic fields, II. Separation of center of mass in homogeneous magnetic fields, Ann. Phys. 114 (1978), 431-451  art.gif (1199 bytes) msn.gif (1426 bytes)art.gif (1199 bytes)

[91] (with J. Avron and I. Herbst) Schrödinger operators in magnetic fields, III. Atoms in homogeneous magnetic field, Commun. Math. Phys. 79 (1981), 529-572 art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[92] (with J. Avron and I. Herbst) Schrödinger operators in magnetic fields, IV. Strongly bound states of hydrogen in intense magnetic field, Phys. Rev. A20 (1979), 2287-2296  art.gif (1199 bytes) art.gif (1199 bytes) 

[93] (with J. Fröhlich, R. Israel and E. Lieb) Phase transitions and reflection positivity, I. General theory and long range interactions, Commun. Math. Phys. 62 (1978), 1-34  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[94] (with J. Fröhlich, R. Israel and E. Lieb) Phase transitions and reflection positivity, II. Lattice systems with short-range and Coulomb interactions, J. Statist. Phys. 22 (1980), 297-341  art.gif (1199 bytes)msn.gif (1426 bytes) art.gif (1199 bytes)

[95] (with P. Deift, W. Hunziker and E. Vock) Pointwise bounds on eigenfunctions and wave packets in N-body quantum systems, IV, Commun. Math. Phys. 64 (1978), 1-34  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[96] Scattering theory and quadratic forms: On a theorem of Schechter, Commun. Math. Phys. 53 (1977), 151-153  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[97] (with E. Lieb) Monotonicity of the electronic contribution of the Born-Oppenheimer energy, J. Phys. B11 (1978), L537-542  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[98] Maximal and minimal Schrödinger forms, J. Oper. Th. 1 (1979), 37-47   art.gif (1199 bytes) msn.gif (1426 bytes)art.gif (1199 bytes)

[99] (with E.B. Davies) Scattering theory for systems with different spatial asymptotics on the left and right, Commun. Math. Phys. 63 (1978), 277-301  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[100] (with I. Herbst) Stark effect revisited, Phys. Rev. Lett. 41 (1978), 67-69  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[101] (with I. Herbst) Some remarkable examples in eigenvalue perturbation theory, Phys. Lett. 78B (1978), 304-306  art.gif (1199 bytes) art.gif (1199 bytes)

[102] (with I. Herbst) Dilation analyticity in constant electric field, II. The N-body problem, Borel summability, Commun. Math. Phys. 80 (1981), 181-216  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[103] (with C. Radin) Invariant domains for the time-dependent Schrödinger equation, J. Diff. Eqn. 29 (1978), 289-296  art.gif (1199 bytes) msn.gif (1426 bytes)art.gif (1199 bytes)

[104] (with L. Benassi, V. Grecchi and E. Harrell) Bender-Wu formula and the Stark effect in hydrogen, Phys. Rev. Lett. 42 (1979), 704-707 art.gif (1199 bytes) art.gif (1199 bytes) 

[105] (with E. Harrell) The mathematical theory of resonances whose widths are exponentially small, Duke Math. J. 47 (1980), 845-902  art.gif (1199 bytes) msn.gif (1426 bytes)art.gif (1199 bytes)

[106] Phase space analysis of simple scattering systems. Extensions of some work of Enss, Duke Math. J. 46 (1979), 119-168  art.gif (1199 bytes) msn.gif (1426 bytes)art.gif (1199 bytes)

[107] The definition of molecular resonance curves by the method of exterior complex scaling, Phys. Lett. 71A (1979), 211-214  art.gif (1199 bytes) art.gif (1199 bytes) 

[108] (with J. Morgan) Behavior of molecular potential energy curves for large nuclear separations, Intl. J. Quan. Chem. 17 (1980), 1143-1166  art.gif (1199 bytes) art.gif (1199 bytes)

[109] (with M. Schechter) Unique continuation for Schrödinger operators with unbounded potentials, J. Math. Anal. Appl. 77 (1980), 482-492   art.gif (1199 bytes) msn.gif (1426 bytes)art.gif (1199 bytes)

[110] Brownian motion, Lp properties of Schrödinger operators and the localization of binding, J. Funct. Anal. 35 (1980), 215-229  art.gif (1199 bytes) msn.gif (1426 bytes)art.gif (1199 bytes)

[111] (with S. Graffi and V. Grecchi) Complete separability of the Stark effect in hydrogen, J. Phys. A12 (1979), L193-L197   art.gif (1199 bytes)msn.gif (1426 bytes) art.gif (1199 bytes)

[112] A remark on Dobrushin's uniqueness theorem, Commun. Math. Phys. 68 (1979), 183-185  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[113] The classical limit of quantum partition functions, Commun. Math. Phys. 71 (1980), 247-276  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[114] (with M. Klaus) Binding of Schrödinger particles through conspiracy of potential wells, Ann. Inst. H. Poincaré A30 (1979), 83-87  art.gif (1199 bytes) msn.gif (1426 bytes)art.gif (1199 bytes)

[115] (with M. Klaus) Coupling constant thresholds in nonrelativistic quantum mechanics, I. Short range two-body case, Ann. Phys. 130 (1980), 251-281  art.gif (1199 bytes)msn.gif (1426 bytes)art.gif (1199 bytes)

[116] (with A. Alonso) The Birman-Krein-Vishik theory of self-adjoint extensions of semibounded operators, J. Oper. Th. 4 (1980), 251-270  art.gif (1199 bytes) msn.gif (1426 bytes)art.gif (1199 bytes)

[117] (with J. Avron) A counterexample to the paramagnetic conjecture, Phys. Lett. 75A (1979), 41-42  art.gif (1199 bytes) msn.gif (1426 bytes)art.gif (1199 bytes)

[118] Mean field upper bound on the transition temperature in multicomponent ferromagnets, J. Statist. Phys. 22 (1980), 491-493  art.gif (1199 bytes) msn.gif (1426 bytes)art.gif (1199 bytes)

[119] (with M. Hoffmann-Ostenhof and T. Hoffmann-Ostenhof) On the nodal structure of atomic eigenfunctions, J. Phys. A13 (1980), 1131-1133  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[120] (with M. Hoffmann-Ostenhof and T. Hoffmann-Ostenhof) Brownian motion and a consequence of Harnack's inequality: Nodes of quantum wave functions, Proc. Amer. Math. Soc. 80 (1980), 301-305  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[121] (with J. Morgan) The calculation of molecular resonances by complex scaling, J. Phys. B14 (1981), L167-L171  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[122] (with M. Klaus) Coupling constant threshold in non-relativistic quantum mechanics, II. Two-cluster thresholds in N-body systems, Commun. Math. Phys. 78 (1980), 153-168  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[124] (with V. Enss) Bounds on total cross-sections in atom-atom and atom-ion collisions by geometric methods, Phys. Rev. Lett. 44 (1980), 319-321 art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[125] (with V. Enss) Finite total cross-sections in non-relativistic quantum mechanics, Commun. Math. Phys. 76 (1980), 177-210  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[126] Decay of correlations in ferromagnets, Phys. Rev. Lett. 44 (1980), 547-549  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[127] Correlation inequalities and the decay of correlations in ferromagnets, Commun. Math. Phys. 77 (1980), 111-126  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[128] (with M. Aizenman) Local Ward identities and the decay of correlations in ferromagnets, Commun. Math. Phys. 77 (1980), 137-143  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[129] (with M. Aizenman) A comparison of plane rotor Ising models, Phys.  Lett. A 76 (1980), 281-282  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[130] (with K. Miller) Quantum magnetic Hamiltonians with remarkable spectral properties, Phys. Rev. Lett. 44 (1980), 1706-1707 art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[131] (with P. Perry and I. Sigal) Absence of singular continuous spectrum in N-body quantum systems, Bull. Amer. Math. Soc. 3 (1980), 1019-1024 art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[132] (with P. Perry and I. Sigal) Spectral analysis of N-body Schrödinger operators, Ann. of Math. 114 (1981), 519-567  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[133] (with R. Carmona) Pointwise bounds on eigenfunctions and wave packets in N-body quantum systems, V. Lower bounds and path integrals, Commun. Math. Phys. 80 (1981), 59-98 art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[134] (with E. Lieb) Pointwise bounds on eigenfunctions and wave packets in N-body quantum systems, VI. Asymptotics in the two-cluster region, Adv. Appl. Math. 1 (1980), 324-343  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[135] (with M. Aizenman) Brownian motion and Harnack's inequality for Schrödinger operators, Commun. Pure Appl. Math. 35 (1982), 209-273  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[136] Large time behavior of the Lp norm of Schrödinger semigroups, J. Funct. Anal. 40 (1981), 66-83  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[137] Spectrum and continuum eigenfunctions of Schrödinger operators, J. Funct. Anal. 42 (1981), 347-355  art.gif (1199 bytes) msn.gif (1426 bytes)art.gif (1199 bytes)

[138] Convergence in trace ideals, Proc. Amer. Math. Soc. 83 (1981), 39-43  [146]   art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[139] (with A. Sokal) Rigorous entropy-energy arguments, J. Statist. Phys. 25 (1981), 679-694  art.gif (1199 bytes) msn.gif (1426 bytes)art.gif (1199 bytes)

[140] Pointwise domination of matrices and comparison of I_p norms, Pacific J. Math. 97 (1981), 471-475  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[141] (with J. Avron) The asymptotics of the gap in the Mathieu equation, Ann. Phys. 134 (1981), 76-84  art.gif (1199 bytes) msn.gif (1426 bytes)art.gif (1199 bytes)

[142] (with J. Avron) Transient and recurrent spectrum, J. Funct. Anal. 43 (1981), 1-31  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[143] The rate of falloff of Ising model correlations at large temperature, J. Statist. Phys. 26 (1981), 53-58  art.gif (1199 bytes)msn.gif (1426 bytes)art.gif (1199 bytes)

[144] Absence of continuous symmetry breaking in a one-dimensional n-2 model, J. Statist. Phys. 26 (1981), 307-311  art.gif (1199 bytes) msn.gif (1426 bytes)art.gif (1199 bytes)

[145] (with S. Friedland) The codimension of degenerate pencils, Linear Alg. Appl. 44 (1982), 41-53  art.gif (1199 bytes) msn.gif (1426 bytes)art.gif (1199 bytes)

[146] (with J. Avron) Almost periodic Hill's equation and the rings of Saturn, Phys. Rev. Lett. 46 (1981), 1166-1168  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes) 

[147] (with J. Avron) Almost periodic Schrödinger operators, I. Limit periodic potentials, Commun. Math. Phys. 82 (1982), 101-120  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[148] (with J. Avron) Singular continuous spectrum for a class of almost periodic Jacobi matrices, Bull. Amer. Math. Soc. 6 (1982), 81-85  art.gif (1199 bytes) msn.gif (1426 bytes)art.gif (1199 bytes)

[149] (with J. Avron) Almost periodic Schrödinger operators, II. The integrated density of states, Duke Math. J. 50 (1983), 369-391 art.gif (1199 bytes) msn.gif (1426 bytes)art.gif (1199 bytes)

[150] Hardy and Rellich inequalities in non-integral dimension, J. Oper. Th. 9 (1983), 143-146  art.gif (1199 bytes) msn.gif (1426 bytes)art.gif (1199 bytes)  Addendum, J. Oper. Th. 12 (1984), 197  art.gif (1199 bytes)

[151] Continuity of the density of states in magnetic field, J. Phys. A15 (1982), 2981-2983  art.gif (1199 bytes) msn.gif (1426 bytes)art.gif (1199 bytes)

[152] (with J. Bellissard) Cantor spectrum for the almost Mathieu equation, J. Funct. Anal. 48 (1982), 408-419  art.gif (1199 bytes)msn.gif (1426 bytes)art.gif (1199 bytes)

[153] (with L. Yaffe) Rigorous perimeter law upper bound on Wilson loops, Phys. Lett. 115B (1982), 145-147  art.gif (1199 bytes) msn.gif (1426 bytes)art.gif (1199 bytes)

[154] (with E. Harrell) Schrödinger operator methods in the study of a certain nonlinear PDE, Proc. Amer. Math. Soc. 88 (1983), 376-377  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[155] (with W. Craig) Subharmonicity of the Lyaponov index, Duke Math. J. 50 (1983), 551-560  art.gif (1199 bytes) msn.gif (1426 bytes)art.gif (1199 bytes)

[156] (with N. Corngold and E. Harrell) The mathematical theory of resonances whose widths are exponentially small, II, J. Math. Anal. Appl. 99 (1984), 447-457  art.gif (1199 bytes) msn.gif (1426 bytes)art.gif (1199 bytes)

[157] Some Jacobi matrices with decaying potential and dense point spectrum, Commun. Math. Phys. 87 (1982), 253-258  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[158] Some quantum operators with discrete spectrum but classically continuous spectrum, Ann. Phys. 146 (1983), 209-220  art.gif (1199 bytes) msn.gif (1426 bytes)art.gif (1199 bytes)

[159] Nonclassical eigenvalue asymptotics, J. Funct. Anal. 53 (1983), 84-98  art.gif (1199 bytes) msn.gif (1426 bytes)art.gif (1199 bytes)

[160] (with M. Hoffmann-Ostenhof and T. Hoffmann-Ostenhof) A multiparticle Coulomb system with bound state at threshold, J. Phys. A16 (1983), 1125-1131  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[161] Semiclassical analysis of low lying eigenvalues, I. Non-degenerate minima: Asymptotic expansions, Ann. Inst. H. Poincaré 38 (1983), 295-307  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[162] Semiclassical analysis of low lying eigenvalues, II. Tunneling, Ann. of Math. 120 (1984), 89-118  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[163] Instantons, double wells and large deviations, Bull. Amer. Math. Soc. 8 (1983), 323-326 art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[164] Equality of the density of states in a wide class of tight binding Lorentzian models, Phys. Rev. B27 (1983), 3859-3860  art.gif (1199 bytes) art.gif (1199 bytes) 

[165] (with F. Bentosela, R. Carmona, P. Duclos, B. Souillard and R. Weder) Schrödinger operators with electric field and random or deterministic potential, Commun. Math. Phys. 88 (1983), 387-397 art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[166] (with W. Craig) Log Hölder continuity of the integrated density of states for stochastic Jacobi matrices, Commun. Math. Phys. 90 (1983), 207-218  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[167] (with J. Avron and W. Craig) Large coupling behavior of the Lyaponov exponent for tight binding one dimensional random systems, J. Phys. A16 (1983), L209-L211 art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[168] Kotani theory for one dimensional stochastic Jacobi matrices, Commun. Math. Phys. 89 (1983), 227-234 art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[169] (with P. Deift) Almost periodic Schrödinger operators, III. The absolutely continuous spectrum in one dimension, Commun. Math. Phys. 90 (1983), 389-411  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[170] Almost periodic Schrödinger operators, IV. The Maryland model, Ann. Phys. 159 (1985), 157-183  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[171] (with J. Avron and R. Seiler) Homotopy and quantization in condensed matter physics, Phys. Rev. Lett. 51 (1983), 51-53 art.gif (1199 bytes) art.gif (1199 bytes) 

[172] Holonomy, the quantum adiabatic theorem and Berry's phase, Phys. Rev. Lett. 51 (1983), 2167-2170  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[173] (with E.B. Davies) Ultracontractivity and the heat kernel for Schrödinger operators and Dirichlet Laplacians, J. Funct. Anal. 59 (1984), 335-395  art.gif (1199 bytes) msn.gif (1426 bytes)art.gif (1199 bytes)

[174] Semiclassical analysis of low lying eigenvalues, III. Width of the ground state band in strongly coupled solids, Ann. Phys. 158 (1984), 415-420  art.gif (1199 bytes) msn.gif (1426 bytes)art.gif (1199 bytes)

[175] (with E. Lieb, I. Sigal and W. Thirring) Asymptotic neutrality of large Z ions, Phys. Rev. Lett. 52 (1984), 994-996  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)  

[176] (with F. Delyon and B. Souillard) From power localized to extended states in a class of one-dimensional disordered systems, Phys. Rev. Lett. 52 (1984), 2187-2189 art.gif (1199 bytes) art.gif (1199 bytes)       

[177] Semiclassical analysis of low lying eigenvalues, IV. The flea on the elephant, J. Funct. Anal. 63 (1985), 123-136  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes) 

[178] (with F. Delyon and B. Souillard) From power pure point to continuous spectrum in disordered systems, Ann. Inst. H. Poincaré 42 (1985), 283-309  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[179] (with W. Kirsch) Universal lower bounds on eigenvalue splittings for one dimensional Schrödinger operators, Commun. Math. Phys. 97 (1985), 453-460  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[180] (with W. Kirsch) Lifshitz tails for periodic plus random potentials, J. Statist. Phys. 42 (1986), 799-808  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[181] (with W. Kirsch) Comparison theorems for the gap of Schrödinger operators, J. Funct. Anal. 75 (1987), 396-410  art.gif (1199 bytes) msn.gif (1426 bytes)art.gif (1199 bytes)

[182] (with W. Kirsch and S. Kotani) Absence of absolutely continuous spectrum for some one dimensional random but deterministic Schrödinger operators, Ann. Inst. H. Poincaré 42 (1985), 383-406  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[183] (with J. Avron) Stability of gaps for periodic potentials under variation of the magnetic field, J. Phys. A18 (1985), 2199-2205 art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[184] (with F. Gesztesy and B. Thaller) On the self-adjointness of Dirac operators with anomalous magnetic moment, Proc. Amer. Math. Soc. 94 (1985), 115-118 art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[185] Schrödinger semigroups on the scale of Sobolev spaces, Pacific J. Math. 122 (1986), 475-480  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[186] (with E.B. Davies) L1-properties of intrinsic Schrödinger semigroups, J. Funct. Anal. 65 (1986), 126-146   art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[187] (with M. Taylor and T. Wolff) Some rigorous results for the Anderson model, Phys. Rev. Lett. 54 (1985), 1589-1592  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[188] (with M. Taylor) Harmonic analysis on SL(2, R) and smoothness of the density of states in the one dimensional Anderson model, Commun. Math. Phys. 101 (1985), 1-19  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[189] (with T. Wolff) Singular continuous spectrum under rank one perturbations and localization for random Hamiltonians, Commun. Pure Appl. Math. 39 (1986), 75-90  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[190] Localization in general one dimensional random systems, I. Jacobi matrices, Commun. Math. Phys. 102 (1985), 327-336  art.gif (1199 bytes)msn.gif (1426 bytes) art.gif (1199 bytes)

[191] Internal Lifschitz tails, J. Statist. Phys. 46 (1987), 911-918  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[192] (with S. Kotani) Localization in general one-dimensional random systems, II. Continuum Schrödinger operators, Commun. Math. Phys. 112 (1987), 103-119  art.gif (1199 bytes) msn.gif (1426 bytes)art.gif (1199 bytes)

[193] (with D. Bolle, F. Gesztesy and H. Grosse) Krein's spectral shift function and Fredholm determinants as efficient methods to study supersymmetric quantum mechanics, Lett. Math. Phys. 13 (1987), 127-133  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes) 

[194] (with F. Delyon and B. Souillard) Localization for off-diagonal disorder and for continuous Schrödinger operators, Commun. Math. Phys. 109 (1987), 157-165  art.gif (1199 bytes)msn.gif (1426 bytes)art.gif (1199 bytes)

[195] (with D. Bolle, F. Gesztesy and H. Grosse) Witten index, axial anomaly and Krein's spectral shift function in supersymmetric quantum mechanics, J. Math. Phys. 28 (1987), 1512-1525 art.gif (1199 bytes) msn.gif (1426 bytes)art.gif (1199 bytes) 

[196] (with E.B. Davies and M. Taylor) Lp spectral theory of Kleinian groups, J. Funct. Anal. 78 (1988), 116-136  art.gif (1199 bytes)msn.gif (1426 bytes) art.gif (1199 bytes)

[197] (with F. Gesztesy) Topological invariance of the Witten index, J. Funct. Anal. 79 (1988), 91-103  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[198] (with S. Kotani) Stochastic Schrödinger operators and Jacobi matrices on the strip, Commun. Math. Phys. 119 (1988), 403-429  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes) 

[199] (with E. Lieb, I. Sigal and W. Thirring) Approximate neutrality of large-Z ions, Commun. Math. Phys. 116 (1988), 635-644  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes) 

[200] (with F. Gesztesy) On a theorem of Deift and Hempel, Commun. Math. Phys. 116 (1988), 503-505  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes) 

[201] (with W. Kirsch) Corrections to the classical behavior of the number of bound states of Schrödinger operators, Ann. Phys. 183 (1988), 122-130  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes) 

[202] (with H. Englisch, M. Schroder and W. Kirsch) Density of surface states in discrete models, Phys. Rev. Lett. 61 (1988), 1261-1262  art.gif (1199 bytes) art.gif (1199 bytes)    

[203] (with F. Gesztesy, D. Gurarie, H. Holden, M. Klaus, L. Sadun and P. Vogl) Trapping and cascading of eigenvalues in the large coupling limit, Commun. Math. Phys. 118 (1988), 597-634  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[204] (with J. Avron, L. Sadun and J. Segert) Topological invariants in Fermi systems with time-reversal invariance, Phys. Rev. Lett. 61 (1988), 1329-1332  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes) 

[205] (with J. Avron, L. Sadun and J. Segert) Chern numbers and Berry's phases in Fermi systems, Commun. Math. Phys. 124 (1989), 595-627  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[206] (with F. Gesztesy) Constructing solutions of the mKdV-equation, J. Funct. Anal. 89 (1990) 53-60  art.gif (1199 bytes) msn.gif (1426 bytes)art.gif (1199 bytes)

[207] (with H. Englisch, M. Schroder and W. Kirsch) Random Hamiltonains ergodic in all but one direction, Commun. Math. Phys. 128 (1990), 613-625  art.gif (1199 bytes) msn.gif (1426 bytes)art.gif (1199 bytes)

[208] (with T. Spencer) Trace class perturbations and the absence of absolutely continuous spectra, Commun. Math. Phys. 125 (1989), 113-125  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[209] (with J. Avron and J. Howland) Adiabatic theorems for dense point spectrum, Commun. Math. Phys. 128 (1990), 497-507  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[210] (with R. Carmona and W. Masters) Relativistic Schrödinger operators: Asymptotic behavior of the eigenfunctions, J. Funct. Anal. 91 (1990), 117-142  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes) 

[211] (with J. Avron and P. van Mouche) On the measure of the spectrum for the almost Mathieu operator, Commun. Math. Phys. 132 (1990), 103-118  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[212] (with E.B. Davies) Spectral properties of the Neumann Laplacian of horns, Geom. Funct. Anal. 2 (1992), 105-117  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[213] (with F. Gesztesy and W. Schweiger) Commutation methods applied to the mKdV-equation, Trans. Amer. Math. Soc. 324 (1991), 465-525  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[214] (with F. Gesztesy, H. Holden and E. Saab) Explicit construction of solutions of the modified Kadomtsev-Petviashvili equation, J. Funct. Anal. 98 (1991), 211-228  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[215] (with F. Gesztesy) A short proof of Zheludev's theorem, Trans. Amer. Math. Soc. 335 (1993), 329-340  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[216] (with J. Avron and R. Seiler) The quantum Hall effect and the relative index for projections, Phys. Rev. Lett. 65 (1990), 2185-2188  art.gif (1199 bytes) art.gif (1199 bytes)

[217] (with R. Hempel and L. Seco) The essential spectrum of Neumann Laplacians on some bounded singular domains, J. Funct. Anal. 102 (1991), 448-483  art.gif (1199 bytes) msn.gif (1426 bytes)art.gif (1199 bytes)

[218] Absence of ballistic motion, Commun. Math. Phys. 134 (1990) 209-212  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[219] (with E.B. Davies) Lp-norms of non-critical Schrödinger semigroups, J. Funct. Anal. 102 (1991), 95-115  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[220] Best constants to some operator smoothness estimates, J. Funct. Anal. 107 (1992), 66-71  art.gif (1199 bytes) msn.gif (1426 bytes)art.gif (1199 bytes)

[221] The Neumann Laplacian of a jelly roll, Proc. Amer. Math. Soc. 114 (1992), 783-785  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[222] The Weyl transform and Lp functions on phase space, Proc. Amer. Math. Soc. 116 (1992), 1045-1047  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[223] Large time behavior of the heat kernel: On a theorem of Chavel and Karp, Proc. Amer. Math. Soc. 118 (1993), 513-514  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[224] (with F. Gesztesy, H. Holden and Z. Zhao) On the Toda and Kac-van Moerbeke systems, Trans. Amer. Math. Soc. 339 (1993), 849-868  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[225] (with V. Jaksic and S. Molchanov) Eigenvalue asymptotics of the Neumann Laplacian of regions and manifolds with cusps, J. Funct. Anal. 106 (1992), 59-79  art.gif (1199 bytes) msn.gif (1426 bytes)art.gif (1199 bytes)

[226] (with F. Gesztesy and G.M. Graf) The ground state energy of Schrödinger operators, Commun. Math. Phys. 150 (1992), 375-384  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[227] (with G.M. Graf) Asymptotic series for the ground state energy of Schrödinger operators, J. Funct. Anal. 112 (1993), 442-446  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[228] (with J. Avron and R. Seiler) Charge deficiency, charge transport and comparison of dimensions, Commun. Math. Phys. 159 (1994), 399-422  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[229] (with J. Avron and R. Seiler) The index of a pair of projections, J. Funct. Anal. 120 (1994), 220-237  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes) 

[230] (with F. Gesztesy, H. Holden and Z. Zhao) Trace formulae and inverse spectral theory for Schrödinger operators, Bull. Amer. Math. Soc. 29 (1993), 250-255  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[231] (with A. Gordon, V. Jaksic and S. Molchanov) Spectral properties of random Schrödinger operators with unbounded potentials, Commun. Math. Phys. 157 (1993), 23-50 art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[232] Cyclic vectors in the Anderson model, Rev. Math. Phys. 6 (1994), 1183-1185  art.gif (1199 bytes) msn.gif (1426 bytes)

[233] (with R. del Rio, S. Jitomirskaya and N. Makarov) Singular continuous spectrum is generic, Bull. Amer. Math. Soc. 31 (1994), 208-212
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[234] Operators with singular continuous spectrum: I. General operators, Ann. of Math. 141 (1995), 131-145
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[235] (with R. del Rio and N. Makarov) Operators with singular continuous spectrum: II. Rank one operators, Commun. Math. Phys. 165 (1994), 59-67
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[236] (with S. Jitomirskaya) Operators with singular continuous spectrum: III. Almost periodic Schrödinger operators, Commun. Math. Phys. 165 (1994), 201-205
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[237] (with F. Gesztesy and H. Holden) Absolute summability of the trace relation for certain Schrödinger operators, Commun. Math. Phys. 168 (1995), 137-161
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[238] (with F. Gesztesy) Rank one perturbations at infinite coupling, J. Funct. Anal. 128 (1995), 245-252
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[239] (with F. Gesztesy, H. Holden and Z. Zhao) Higher order trace relations for Schrödinger operators, Rev. Math. Phys. 7 (1995), 893-922
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[240] (with F. Gesztesy, H. Holden and Z. Zhao) A trace formula for multidimensional Schrödinger operators, J. Funct. Anal. 141 (1996), 449-465
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[241] (with F. Gesztesy) The xi function, Acta Math., 176 (1996), 49-71
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[242] Lp norms of the Borel transform and the decomposition of measures, Proc. Amer. Math. Soc. 123 (1995), 3749-3755
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[243] (with R. del Rio and G. Stolz) Stability of spectral types for Sturm-Liouville operators, Math. Research. Lett. 1 (1994), 437-450
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[244] (with A. Kiselev) Rank one perturbations with infinitesimal coupling, J. Funct. Anal. 130 (1995), 345-356
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[245] (with A. Hof and O. Knill) Singular continuous spectrum for palindromic Schrödinger operators, Commun. Math. Phys. 174 (1995), 149-159
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[246] Operators with singular continuous spectrum, VI. Graph Laplacians and Laplace-Beltrami operators, Proc. Amer. Math. Soc. 124 (1996), 1177-1182
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[247] (with G. Stolz) Operators with singular continuous spectrum, V. Sparse potentials, Proc. Amer. Math. Soc. 124 (1996), 2073-2080
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[248] Operators with singular continuous spectrum, VII. Examples with borderline time decay, Commun. Math. Phys. 176 (1996), 713-722
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[249] (with F. Gesztesy) Uniqueness theorems in inverse spectral theory for one-dimensional Schrödinger operators, Trans. Amer. Math. Soc. 348 (1996), 349-373
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[250] (with R. del Rio, S. Jitomirskaya and Y. Last) Operators with singular continuous spectrum, IV. Hausdorff dimensions, rank one perturbations, and localization, J. d'Analyse Math. 69 (1996), 153-200
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[251] (with R. del Rio, S. Jitomirskaya and Y. Last) What is localization?, Phys. Rev. Lett. 75 (1995), 117-119
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[252] (with F. Gesztesy and G. Teschl) Zeros of the Wronskian and renormalized oscillation theory, Am. J. Math. 118 (1996), 571-594
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[253] Bounded eigenfunctions and absolutely continuous spectra for one-dimensional Schrödinger operators, Proc. Amer. Math. Soc. 124 (1996), 3361-3369
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[254] Some Schrödinger operators with dense point spectrum, Proc. Amer. Math. Soc. 125 (1997), 203-208
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[255] (with W. Bulla, F. Gesztesy and W. Renger) Weakly coupled bound states in quantum waveguides, Proc. Amer. Math. Soc. 125 (1997), 1487-1495
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[256] (with Y.F. Zhu) The Lyapunov exponents for Schrödinger operators with slowly oscillating potentials, J. Funct. Anal. 140 (1996), 541-556
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[257] (with A. Gordon, S. Jitomirskaya and Y. Last) Duality and singular continuous spectrum in the almost Mathieu equation, Acta Math. 178 (1997), 169-183
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[258] (with F. Gesztesy and G. Teschl) Spectral deformations of one-dimensional Schrödinger operators, J. d'Analyse Math. 70 (1996), 267-324
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[259] (with R. del Rio) Point spectrum and mixed spectral types for rank one perturbations, Proc. Amer. Math. Soc. 125 (1997), 3593-3599
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[260] (with F. Gesztesy) Inverse spectral analysis with partial information on the potential, I. The case of an a.c. component in the spectrum, Helv. Phys. Acta 70 (1997), 66-71
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[261] (with F. Gesztesy) m-functions and inverse spectral analysis for finite and semi-infinite Jacobi matrices, J. d'Analyse Math. 73 (1997), 267-297
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[262] Spectral averaging and the Krein spectral shift, Proc. Amer. Math. Soc. 126 (1998), 1409-1413
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[263] (with Y. Last) Eigenfunctions, transfer matrices, and absolutely continuous spectrum of one-dimensional Schrödinger operators, Invent. math. 135 (1999), 329-367
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[264] (with F. Gesztesy) Inverse spectral analysis with partial information on the potential, II. The case of discrete spectrum, Trans. Amer. Math. Soc. 352 (2000), 2765-2787
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[265] (with A. Kiselev and Y. Last) Modified Prüfer and EFGP transforms and the spectral analysis of one-dimensional Schrödinger operators, Commun. Math. Phys. 194 (1998), 1-45.
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[266] (with R. del Rio and F. Gesztesy) Inverse spectral analysis with partial information on the potential, III. Updating boundary conditions, Intl. Math. Research Notices, (1997) no. 15, 751-758
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[267] (with Y. Last) Modified Prüfer and EFGP transforms and deterministic models with dense point spectrum, J. Funct. Anal. 154 (1998), 513-530
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[268] (with F. Gesztesy) On the determination of a potential from three spectra, Amer. Math. Soc. Transl. (2) 189 (1999), 85-92
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[269] (with A. Kiselev and C. Remling) Effective perturbation methods for one-dimensional Schrödinger operators, J. Diff. Eq. 151 (1999), 290-312
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[270] The classical moment problem as a self-adjoint finite difference operator, Advances in Math. 137 (1998), 82-203
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[271] A new approach to inverse spectral theory, I. Fundamental formalism, Ann. of Math. 150 (1999), 1029-1057
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[272] (with F. Gesztesy) A new approach to inverse spectral theory, II. General real potentials and the connection to the spectral measure, Ann. of Math. 152 (2000), 593-643
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[273] (with A. Ramm) A new approach to inverse spectral theory, III. Short-range potentials, J. d'Analyse Math. 80 (2000), 319-334
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[274] A Feynman-Kac formula for unbounded semigroups, Intl. Conference on Infinite Dimensional (Stochastic) Analysis and Quantum Physics, Leipzig 1999, Canadian Math. Soc. Conf. Proc. 28 (2000), 317-321
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[275] (with F. Gesztesy) On local Borg-Marchenko uniqueness results, Commun. Math. Phys. 211 (2000), 273-287
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[276] Resonances in one dimension and Fredholm determinants, J. Funct. Anal. 178 (2000), 396-420
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[277] (with D. Hundertmark) An optimal Lp-bound on the Krein spectral shift function, J. d'Analyse Math. 87 (2002), 199-208 (volume dedicated to the memory of Tom Wolff)
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[278] (with W. Kirsch) Approach to equilibrium for a forced Burgers equation, Journal of Evolution Equations 1 (2001), 411-419
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[279] (with A. Kiselev and Y. Last) Stability of singular spectral types under decaying perturbations, J. Funct. Anal. 198 (2003), 1-27
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[280] (with D. Hundertmark) Lieb-Thirring inequalities for Jacobi matrices, J. Approx. Theory 118 (2002), 106-130
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[281] (with R. Killip) Sum rules for Jacobi matrices and their applications to spectral theory, Ann. of Math. 158 (2003), 253-321.
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[282] (with A. Zlatos) Sum rules and the Szego condition for orthogonal polynomials on the real line, Commun. Math. Phys. 242 (2003), 393-423.
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[283] (with S. Denisov) Zeros of orthogonal polynomials on the real line, J. Approx. Theory 121 (2003), 357-364.
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[284] (with D. Damanik and D. Hundertmark) Bound states and the Szegö condition for Jacobi matrices and Schrödinger operators, J. Funct. Anal. 205 (2003), 357-379
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[285] (with D. Damanik, D. Hundertmark, and R. Killip) Variational estimates for discrete Schrödinger operators with potentials of indefinite sign, Commun. Math. Phys. 238 (2003), 545-562.
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[286] (with D. Hundertmark) A diamagnetic inequality for semigroup differences, J. Reine Angew. Math. 571 (2004), 107-130.
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[287] The Golinskii-Ibragimov method and a theorem of Damanik-Killip, Int. Math. Res. Not. (2003), no. 36, 1973-1986.
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[288] A canonical factorization for meromorphic Herglotz functions on the unit disk and sum rules for Jacobi matrices, J. Funct. Anal. 214 (2004), 396-409
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[289] (with F. Gesztesy) Connectedness of the isospectral manifold for one-dimensional half-line Schrödinger operators, J. Statist. Phys. 116 (2004), 361-365
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[290] Ratio asymptotics and weak asymptotic measures for orthogonal polynomials on the real line, J. Approx. Theory 126 (2004), 198-217
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[291] (with D. Damanik and R. Killip) Necessary and sufficient conditions in the spectral theory of Jacobi matrices and Schrödinger operators, Int. Math. Res. Not. (2004), no. 22, 1087-1097
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[292] (with V. Totik) Limits of zeros of orthogonal polynomials on the circle, Math. Nachr. 278 (2005), 1615-1620 (issue in honor of F.V. Atkinson)
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[293] On a theorem of Kac and Gilbert, J. Funct. Anal. 223 (2005), 109-115
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[294] Orthogonal polynomials on the unit circle: New results, Int. Math. Res. Not. (2004), no. 53, 2837-2880
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[295] (with D. Damanik and R. Killip) Schrödinger operators with few bound states, Comm. Math. Phys. 258 (2005), 741-750
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[296] (with A. Zlatos) Higher-order Szego theorems with two singular points, J. Approx. Theory 134 (2005), 114-129
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[297] Aizenman's theorem for orthogonal polynomials on the unit circle, Const. Approx. 23 (2006), 229-240
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[298] Fine structure of the zeros of orthogonal polynomials, I. A tale of two pictures, Electronic Transactions on Numerical Analysis 25 (2006), 328-368
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[299] Fine structure of the zeros of orthogonal polynomials, II. OPUC with competing exponential decay, J. Approx. Theory 135 (2005), 125-139
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[300] Fine structure of the zeros of orthogonal polynomials, III. Periodic recursion coefficients, Comm. Pure Appl. Math. 59 (2006) 1042-1062
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[301] (with D. Damanik) Jost functions and Jost solutions for Jacobi matrices, I. A necessary and sufficient condition for Szegö asymptotics, Invent. Math. 165 (2006), 1-50
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[302] (with D. Damanik) Jost functions and Jost solutions for Jacobi matrices, II. Decay and analyticity, Int. Math. Res. Not. 2006, Article ID 19396, 32 pages, 2006.
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[303]  Meromorphic Szegö functions and asymptotic series for Verblunsky coefficients, Acta Math. 195 (2005), 267-285
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[304]  (with Y. Last) The essential spectrum of Schrödinger, Jacobi, and CMV operators, J. d'Analyse Math. 98 (2006), 183-220
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[305]  Meromorphic Jost functions and asymptotic expansion for Jacobi parameters, Funct. Anal. Appl. 41 (2007), 143-153 (volume dedicated to M. Krein)
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[306]  (with R. Killip) Sum rules and spectral measures of Schrödinger operators with L2 potentials, Annals of Math. 170 (2009), 739-782.
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[307]  (with E.B. Davies)  Eigenvalue estimates for non-normal matrices and the zeros of random orthogonal polynomials on the unit circle, J. Approx. Theory 141 (2006), 189-213
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[308]  Rank one perturbations and the zeros of paraorthogonal polynomials on the unit circle, J. Math. Anal. Appl. 329 (2007), 376-382
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[309]  (with Y. Last)  Fine structure of the zeros of orthogonal polynomials, IV. A priori bounds and clock behavior, Comm. Pure Appl. Math. 61 (2008), 486-538
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[310]  Zeros of OPUC and long time asymptotics of Schur and related flows, Inverse Problems and Imaging 1 (2007), 189-215
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[311]  (with M.J. Cantero) Poisson brackets of orthogonal polynomials, J. Approx. Theory 158 (2009), 3-48.
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[312]  (with D. Damanik and R. Killip) Perturbations of orthogonal polynomials with periodic recursion coefficients, Annals of Math. 171 (2010), 1931-2010
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[313]  (with R. Frank and T. Weidl)  Eigenvalue bounds for perturbations of Schrödinger operators and Jacobi matrices with regular ground states, Comm. Math. Phys. 282 (2008), 199-208
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[314]  (with F. Gesztesy and A. Pushnitski) On the Koplienko spectral shift function, I. Basics,  Zh. Mat. Fiz. Anal. Geom. 4  (2008),  no. 1, 63-107
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[315]  (with D. Hundertmark) Eigenvalue bounds in the gaps of Schrödinger operators and Jacobi matrices, J. Math. Anal. Appl. 340 (2008), 892-900
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[316]  Two extensions of Lubinsky's universality theorem, J. d'Analyse Math. 105 (2008), 345-362
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[317]  Equilibrium measures and capacities in spectral theory, Inverse Problems and Imaging 1 (2007), 713-772
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[318]  Weak convergence of CD kernels and applications, Duke Math. J. 146 (2009), 305-330
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[319]  Regularity and the Cesàro–Nevai class, J. Approx. Theory 156 (2009), 142-153
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[320]  (with Y. Kreimer and Y. Last) Monotone Jacobi parameters and non-Szegö weights, J. Approx. Theory 157 (2009), 144-171
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[321]  (with J. Breuer and Y. Last) The Nevai condition, Constr. Approx. 32 (2010), 221-254
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[322]  Schrödinger operators with purely discrete spectrum, Methods Funct. Anal. Topology 15 (2009), 61-66.
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[323] (with J. Christiansen and M. Zinchenko) Finite gap Jacobi matrices, I. The isospectral torus, Constr. Approx. 32 (2010), 1-65
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[324] (with A. Avila and Y. Last) Bulk universality and clock spacing of zeros for ergodic Jacobi matrices with a.c. spectrum, Analysis & PDE 3 (2010), 81-108
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[325] (with A. Poltoratski and M. Zinchenko) The Hilbert transform of a measure, J. d'Analyse Math. 111 (2010), 247-265
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[326] (with J. Breuer and E. Ryckman) Equality of the spectral and dynamical definitions of reflection, Comm. Math. Phys. 295 (2010), 531-550
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[327] (with J. Christiansen and M. Zinchenko) Finite gap Jacobi matrices, II. The Szegö class, Constr. Approx. 33 (2011), 365-403
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[328] (with J. Breuer) Natural boundaries and spectral theory, Advances in Mathematics 226 (2011), 4902-4920
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[329] (with R. Frank) Critical Lieb-Thirring bounds in gaps and the generalized Nevai conjecture for finite gap Jacobi matrices, Duke Math. J. 157 (2011), 461-493
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[330]  (with A. Martinez-Finkelshtein) Asymptotics of the L2 norm of derivatives of OPUC, J. Approx. Theory 163 (2011), 747-778
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[331]  On the removal of finite discrete spectrum by coefficient stripping, J. Spectr. Theory 1 (2011), 81-85
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[332]  (with J. Christiansen and M. Zinchenko) Finite gap Jacobi matrices, III. Beyond the Szegö class, Constr. Approx. 35 (2012), 259-272
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[333]  (with J. Breuer and Y. Last) Stability of asymptotics of Christoffel-Darboux kernels, Comm. Math. Phys. 330 (2014), 1155-1178
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[334] (with H. Krüger) Cantor polynomials and  some related classes of OPRL, J. Approx. Theory  191 (2015), 71-93
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[335] (with R. Frank)  Eigenvalue Bounds for Schrödinger Operators with Complex Potentials. II , J. Specr. Theory, 7  (2017), 633-658
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[336]  (with J. Christiansen and M. Zinchenko) Asymptotics of Chebyshev Polynomials, I. Subsets of R.,  Invent. math., 208 (2017), 217-245
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[337]  A Cayley-Hamiltonian Theorem for Periodic Finite Band Matrices, Functional analysis and operator theory for quantum physics, ed.  J. Dittrich, H. Kovařík and A. Laptev, EMS Ser. Congr. Rep., Eur. Math. Soc., Zürich ( 2017),  525-529
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[338]  (with R. Frank and M. Lemm)  Condensation of fermion pairs in a domain, Calculus of Variations and Partial Differential Equations, to appear.
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[339]  (with J. Breuer and O. Zeitouni)  Large Deviations and Sum Rules for Spectral Theory - A Pedagogical Approach,  J. Specr. Theory, to appear
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[340]  (with J. Breuer and O. Zeitouni)  Large Deviations and the Lukic Conjecture,  preprint
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[341]  (with J. Christiansen, P. Yuditskii and M. Zinchenko) Asymptotics of Chebyshev Polynomials, II. DCT Subsets of R,  preprint
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[342] Unitaries Permuting Two Orthogonal Projections,  Linear Alg. Appl., to appear.
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[343] (with A. Böttcher and I. Spitkovsky) Similarity between two projections, Int. Eq. and Op. Th., to appear
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BOOKS AND MONOGRAPHS

[I] Quantum Mechanics for Hamiltonians Defined by Quadratic Forms, in Princeton Series in Physics, Princeton University Press, 1971  msn.gif (1426 bytes)

[II] (with M. Reed) Methods of Modern Mathematical Physics, Vol. 1: Functional Analysis, Academic Press, 1972  msn.gif (1426 bytes) ; second edition, Academic Press, 1980  msn.gif (1426 bytes)

[III] (with M. Reed) Methods of Modern Mathematical Physics, Vol. II: Fourier Analysis, Self Adjointness, Academic Press, 1975  msn.gif (1426 bytes)

[IV] The P(\phi)_2 Euclidean (Quantum) Field Theory, in Princeton Series in Physics, Princeton University Press, 1974  msn.gif (1426 bytes)

[V] (with M. Reed) Methods of Modern Mathematical Physics, Vol. III: Scattering Theory, Academic Press, 1979  msn.gif (1426 bytes)

[VI] (editor, with E. Lieb and A. Wightman) Studies in Mathematical Physics, Essays in Honor of Valentine Bargmann, Princeton University Press, 1976 

[VII] (with M. Reed) Methods of Modern Mathematical Physics, Vol. IV: Analysis of Operators, Academic Press, 1977  msn.gif (1426 bytes)

[VIII] Trace Ideals and Their Applications, Cambridge University Press, 1979   msn.gif (1426 bytes)

         [VIIIa] Trace Ideals and Their Applications, second edition, Mathematical Surveys and Monographs,  Vol. 120, American Mathematical Society, 2005  msn.gif (1426 bytes)

[IX] Functional Integration and Quantum Physics, Academic Press, 1979  msn.gif (1426 bytes)

       [IXa]  Functional Integration and Quantum Physics, second edition, AMS Chelsea Publishing, 2005  msn.gif (1426 bytes)

[X] (with H. Cycon, R. Froese and W. Kirsch) Schrödinger Operators with Application to Quantum Mechanics and Global Geometry, Springer Verlag, 1987  msn.gif (1426 bytes)

       [Xa] (with H. Cycon, R. Froese and W. Kirsch) Schrödinger Operators with Application to Quantum Mechanics and Global Geometry, corrected and extended 2nd printing, Springer Verlag,   2008

[XI] The Statistical Mechanics of Lattice Gases, Vol. I, Princeton University Press, 1993  msn.gif (1426 bytes)

[XII] Representations of Finite and Compact Groups, in Graduate Studies in Mathematics 10, American Mathematical Society, 1996  msn.gif (1426 bytes)

[XIII]  Orthogonal Polynomials on the Unit Circle, Part1: Classical Theory, AMS Colloquium Publications, American Mathematical Society, Providence, RI, 2005  [webpage]  [review msn.gif (1426 bytes)

[XIV]  Orthogonal Polynomials on the Unit Circle, Part 2: Spectral Theory, AMS Colloquium Publications, American Mathematical Society, Providence, RI, 2005  [webpage]  msn.gif (1426 bytes)

[XV]  Szego's Theorem and Its Descendants: Spectral Theory for L2 Perturbations of Orthogonal Polynomials, M. B. Porter Lectures, Princeton University Press, Princeton, NJ, 2011  [webpage] msn.gif (1426 bytes)

[XVI]  Convexity: An Analytic Viewpoint, Cambridge Tracts in Mathematics 187, Cambridge University Press, Cambridge, 2011   [webpage] msn.gif (1426 bytes)

[XVII] A Comprehensive Course in Analysis, Part -1: Real Analysis, American Mathematical Society, 2015.   [webpage]  [Facebook Page] [order page]

[XVIII] A Comprehensive Course in Analysis, Part-2A: Basic Complex Analysis, American Mathematical Society, 2015.   [webpage]  [Facebook Page]  [order page]  [review]

[XIX]   A Comprehensive Course in Analysis, Part-2B: Advanced Complex Analysis, American Mathematical Society, 2015.   [webpage]   [Facebook Page[order page]

[XX]  A Comprehensive Course in Analysis, Part -3: Harmonic Analysis, American Mathematical Society, 2015.   [webpage]  [Facebook Page]  [order page]

[XXI] A Comprehensive Course in Analysis, Part-4: Operator Theory, American Mathematical Society, 2015.   [webpage]   [Facebook Page]  [order page]

CONFERENCE PROCEEDINGS, SUMMER SCHOOL NOTES, REVIEW ARTICLES, NEWSLETTER ARTICLES


[i] Analyticity in the coupling constant and the Padé approximation, Proc. 8th Annual Eastern Theoretical Physics Conference (Syracuse 1969), Syracuse, 1970, 167-195

[ii] The anharmonic oscillator: A singular perturbation theory, Cargese Lectures in Theoretical Physics 5 (ed. D. Bessis), Gordon and Breach, 1972, 383-414  art.gif (1199 bytes) msn.gif (1426 bytes)

[iii] Studying spatially cutoff (\varphi^{2n})_2 Hamiltonians, Statistical Mechanics and Field Theory (ed. R.N. Sen and C. Weil), Halsted Press, New York; Israel Universities Press, Jerusalem, 1972, 197-224

[iv] Topics in functional analysis, Mathematics of Contemporary Physics (ed. R. Streater), Academic Press, 1972, 18-76 art.gif (1199 bytes)

[v] Perturbation theory and coupling constant analyticity in two-dimensional field theories, Fundamental Interactions in Physics and Astronomy, Plenum, 1973, 120-136

[vi] The Glimm-Jaffe \phi-bound: A Markov proof, Constructive Quantum Field Theory (ed. G. Velo and A.S. Wightman), Springer, 1973, 125-131 art.gif (1199 bytes)

[vii] Bose field theory as statistical mechanics, III. The classical Ising approximation,Constructive Quantum Field Theory, (ed. G. Velo and A.S. Wightman), Springer, 1973, 290-297 art.gif (1199 bytes)

[viii] Approximation of Feynman integrals and Markov fields by spin systems, Proc. 1974 Intl. Cong. Math., 1975, 399-402  art.gif (1199 bytes) msn.gif (1426 bytes)

[ix] Bose quantum field theory as an Ising ferromagnet: Recent developments, Intl. Symp. on Math. Problems in Theoretical Physics (ed. H. Araki), Lecture Notes in Physics 39, Springer, 1975, 543-553  art.gif (1199 bytes) msn.gif (1426 bytes)

[x] An introduction to the self-adjointness and spectral analysis of Schrödinger operators, The Schrödinger Equation (ed. W. Thirring and P. Urban), Springer, 1977 (Acta Phys. Aus. Suppl. 17, Vienna, 19-42)  art.gif (1199 bytes)

[xi] On the number of bound states of two-body Schrödinger operators: A review, Studies in Mathematical Physics, Essays in Honor of Valentine Bargmann (ed. E.H. Lieb, B. Simon and A.S. Wightman, Princeton University Press, Princeton, 1976, 305-326  art.gif (1199 bytes)

[xii] Quantum dynamics: From automorphism to Hamiltonian, Studies in Mathematical Physics, Essays in Honor of Valentine Bargmann (ed. E.H. Lieb, B. Simon and A.S. Wightman, Princeton University Press, Princeton, 1976, 327-349  art.gif (1199 bytes)

[xiii] Classical boundary conditions as a technical tool in modern mathematical physics, Adv. in Math. 30 (1978), 268-281  art.gif (1199 bytes) msn.gif (1426 bytes)art.gif (1199 bytes)

[xiv] New rigorous existence theorems for phase transitions in model systems, Proc. Thirteenth IUPAP Stat. Mech. Meeting (Haifa, 1977), Ann. Israel Phys. Soc. 2, Hilger, Bristol, 1978, 287-301  art.gif (1199 bytes) msn.gif (1426 bytes)

[xv] Resonances and complex scaling: A rigorous overview, Intl. J. Quant. Chem. 14 (1978), 529-542  art.gif (1199 bytes) art.gif (1199 bytes)

[xvi] An overview of rigorous scattering theory, Atomic Scattering Theory - Mathematical and Computational Aspects (ed. J. Nuttall), Univ. of Western Ontario, Ontario, Canada, 1978, 1-24 art.gif (1199 bytes)

[xvii] Identifying the classical limit of a quantum spin system, Colloq. Math. Soc. Bolyai 27 (1979), 989-1001  art.gif (1199 bytes)

[xviii] Lattice systems, Encyclopedia of Statistical Sciences 4 (ed. Kotz and Johnson), Wiley, 1983, 519-522  art.gif (1199 bytes)

[xix] Quantum physics and functional integration, Encyclopedia of Statistical Sciences 7 (ed. Kotz and Johnson), Wiley, 1986, 453-456 art.gif (1199 bytes)

[xx] Feynman integral, McGraw-Hill Encyclopedia of Science and Technology, 5th ed., 1982, 391-392 art.gif (1199 bytes)

[xxi] Schrödinger semigroups, Bull. Amer. Math. Soc. 7 (1982), 447-526  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[xxii] (with V. Enss) Total cross sections in non-relativistic scattering theory, Quantum Mechanics in Mathematics, Chemistry and Physics (ed. K. Gustafson and W. Reinhardt), Plenum, 1981, 1-26  art.gif (1199 bytes)

[xxiii] Large orders and summability of eigenvalue perturbation theory: A mathematical overview, Intl. J. Quant. Chem. 21 (1982), 3-25  art.gif (1199 bytes)

[xxiv] Spectral analysis of multiparticle Schrödinger operators, Spectral Theory of Differential Operators (ed. I. Knowles and R.T. Lewis), North Holland, 1981, 369-370  art.gif (1199 bytes)

[xxv] m-functions and the absolutely continuous spectrum of one-dimensional almost periodic Schrödinger operators, Differential Equations (ed. I. Knowles and R.T. Lewis), North Holland, 1984, 519  art.gif (1199 bytes)

[xxvi] Almost periodic Schrödinger operators: A review, Adv. Appl. Math. 3 (1982), 463-490  art.gif (1199 bytes) msn.gif (1426 bytes)

[xxvii] Fifteen problems in mathematical physics, Oberwolfach Anniversary Volume, 1984, 423-454  art.gif (1199 bytes) msn.gif (1426 bytes)

[xxviii] Boundedness of continuum eigenfunctions and their relation to spectral problems, Linear and Complex Analysis Problem Book: 199 Research Problems (ed. V. Havin, S. Hruscev, and N. Nikol'skii), Lecture Notes in Mathematics 1043, Springer, 1984, 113-115 art.gif (1199 bytes)

[xxix] (with E.B. Davies) Ultracontractive semigroups and some problems in analysis, Aspects of Mathematics and its Applications (ed. J. Barroso), Elsevier, 1986  art.gif (1199 bytes) msn.gif (1426 bytes)

[xxx] (with B. Souillard) Franco-American meeting on the mathematics of random and almost periodic potentials, J. Statist. Phys. 36 (1984), 273-288  art.gif (1199 bytes) art.gif (1199 bytes)

[xxxi] Some aspects of the theory of Schrödinger operators, Schrödinger Operators, Como 1984 (ed. S. Graffi), Lecture Notes in Mathematics 1159, Springer, 1985, 177-203 art.gif (1199 bytes) msn.gif (1426 bytes)

[xxxii] Lifshitz tails for the Anderson model, J. Statist. Phys. 38 (1985), 65-76  art.gif (1199 bytes) msn.gif (1426 bytes)art.gif (1199 bytes)

[xxxiii] Regularity of the density of states for stochastic Jacobi matrices: A review, IMA Conf. Proc., Random Media 7 (1987), 245-266  art.gif (1199 bytes) msn.gif (1426 bytes)

[xxxiv] Schrödinger operators with random and almost periodic potentials, Recent Developments in Mathematical Physics (ed. H. Mitter and L. Pittner), Springer, New York, 1987, 100-101. art.gif (1199 bytes)

[xxxv] (with E.B. Davies and L. Gross) Hypercontractivity: A bibliographic review, Proc. Hoegh Krohn Memorial Conference, Ideas and Methods in Quantum and Statistical Physics (Oslo, 1988), 370-389, Cambridge Univ. Press, Cambridge, 1992.  art.gif (1199 bytes) msn.gif (1426 bytes)

[xxxvi] Fifty years of eigenvalue perturbation theory, Bull. Amer. Math. Soc. 24 (1991), 303-319  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[xxxvii] The Scott correction and the quasi-classical limit, Asterisque 210 (1992), 295-302 art.gif (1199 bytes) msn.gif (1426 bytes)

[xxxviii] Spectral analysis of rank one perturbations and applications, Proc. Mathematical Quantum Theory, II: Schrödinger Operators (eds. J. Feldman, R. Froese and L. Rosen) CRM Proc. Lecture Notes 8 (1995), 109-149  art.gif (1199 bytes) msn.gif (1426 bytes)

[xxxix] Schrödinger operators in the twentieth century, J. Math. Phys. 41 (2000), 3523-3555  art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes)

[xl] Schrödinger operators in the twenty-first century, Mathematical Physics 2000 (eds. A. Fokas, A. Grigoryan, T. Kibble and B. Zegarlinski), Imperial College Press, London, 283-288  art.gif (1199 bytes) msn.gif (1426 bytes)

[xli] (with H. Cordes, A. Jensen, S. T. Kuroda, G. Ponce and M. Taylor) Tosio Kato (1917-1999), Notices A.M.S  47 (2000), 650-657 art.gif (1199 bytes) msn.gif (1426 bytes)

[xlii] Sturm oscillation and comparison theorems, Sturm-Liouville Theory: Past and Present (eds. W. Amrein, A. Hinz and D. Pearson), Birkhauser, Basel, 2005, 29-43 msn.gif (1426 bytes)pdf.gif (952 bytes)

[xliii] Analogs of the m-function in the theory of orthogonal polynomials on the unit circle, J. Comp. Appl. Math. 171 (2004), 411-424 art.gif (1199 bytes) msn.gif (1426 bytes) art.gif (1199 bytes) pdf.gif (952 bytes)

[xliv] The sharp form of the strong Szegö theorem, Geometry, spectral theory, groups, and dynamics, Contemp. Math. 387 (2005), 253-275, Amer. Math. Soc., Providence, RI art.gif (1199 bytes)msn.gif (1426 bytes)pdf.gif (952 bytes)

[xlv]  Ed Nelson's work in quantum theory, Diffusion, Quantum Theory, and Radically Elementary Mathematics (ed. W. G. Faris), Mathematical Notes 47, Princeton University Press, 2006, 75-93. This article has been reprinted as part of an obituary for Ed. Nelson in the IAMP Bulletin for April, 2015art.gif (1199 bytes) msn.gif (1426 bytes) pdf.gif (952 bytes)

[xlvi] OPUC on one foot, Bull. Amer. Math. Soc. 42 (2005), 431-460 art.gif (1199 bytes) msn.gif (1426 bytes)art.gif (1199 bytes)pdf.gif (952 bytes) 

[xlvii] CMV matrices: Five years after, J. Comput. Appl. Math. 208 (2007), 120-154 art.gif (1199 bytes) msn.gif (1426 bytes)art.gif (1199 bytes) pdf.gif (952 bytes) 

[xlviii] Orthogonal polynomials with exponentially decaying recursion coefficients, Probability and Mathematical Physics (eds. D. Dawson, V. Jaksic and B. Vainberg), CRM Proc. and Lecture Notes 42 (2007), 453-463.  art.gif (1199 bytes) msn.gif (1426 bytes)pdf.gif (952 bytes) 

[xlix] Fine structure of the zeros of orthogonal polynomials: A review, Difference Equations, Special Functions and Orthogonal Polynomials (eds. S. Elaydi et al.), World Sci. Publ., Singapore, 2007, 636-653.  art.gif (1199 bytes) msn.gif (1426 bytes)pdf.gif (952 bytes)  

[l]  (with J. Christiansen and M. Zinchenko) Finite gap Jacobi matrices: An announcement, J. Comp. Applied Math. 233 (2009), 652-662  art.gif (1199 bytes) msn.gif (1426 bytes)art.gif (1199 bytes)pdf.gif (952 bytes)

[li]  (with D. Damanik and A. Pushnitski) The analytic theory of matrix orthogonal polynomials, Surveys in Approximation Theory 4 (2008), 1-85.
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[lii] The Christoffel-Darboux kernel, in "Perspectives in PDE, Harmonic Analysis and Applications," a volume in honor of V.G. Maz'ya's 70th birthday, Proceedings of Symposia in Pure Mathematics 79 (2008), 295-335  art.gif (1199 bytes)msn.gif (1426 bytes) pdf.gif (952 bytes) 

[liii] A celebration of Jürg and Tom, J. Statist. Phys. 134 (2009), 809-812 (special issue in honor of  the 60th birthday of Jürg Fröhlich and Tom Spencer)  WARNING: Video is over 1.3 GB!
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[liv] Fine structure of the zeros of orthogonal polynomials: A progress report, in "Recent Trends in Orthogonal Polynomials and Approximation Theory," a volume in honor of Guillermo Lopez's 60th birthday,  Contemporary Math. 507 (2010), 241-254.
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[lv] Spectral theory of orthogonal polynomials, Proc. ICMP 2012, Aalborg, World Scientific, Singapore, 2014, 217-228 art.gif (1199 bytes) msn.gif (1426 bytes)pdf.gif (952 bytes) 

[lvi]  (with J. Christiansen and M. Zinchenko) Finite gap Jacobi matrices: A review, in Spectral Analysis, Differential Equations and Mathematical Physics, A Festschrift for Fritz Gesztesy on the Occasion of his 60th Birthday, ed. H. Holden, B. Simon and G. Teschl, AMS, Proceedings of Symposia in Pure Mathematics 87 (2013),  87-103 art.gif (1199 bytes) msn.gif (1426 bytes)pdf.gif (952 bytes)

[lvii] Mathematical physics at Princeton in the 1970s, IAMP News Bulletin, July 2012  art.gif (1199 bytes)art.gif (1199 bytes)

[lviii] (with A. Jaffe) Obituary: Arthur Strong Wightman (1922-2013), IAMP News Bulletin, January 2013  art.gif (1199 bytes)art.gif (1199 bytes)

[lix] (B. Simon was coordinating editor; contributions by  J. Frohlich, F. Guerra, K. Hepp, A. Jaffe, C. Nappi, E. Nelson, D. Ruelle, B. Simon, R. Streater, F. Strocchi and G. Velo), In Memory of Arthur Strong  Wightman, Notices A.M.S  62 (2015), 249-257 art.gif (1199 bytes) art.gif (1199 bytes)

[lx] Spectral Theory Sum Rules, Meromorphic Herglotz Functions and Large Deviations, Notices A.M.S. 64 (2017) 9-10, blurb for JMM plenary talk, Atlanta, Jan, 2017.  pdf.gif (952 bytes)art.gif (1199 bytes)art.gif (1199 bytes)

[lxi] Tosio Kato's Work on Non--Relativistic Quantum Mechanics, review article for  Bulletin of  Mathematical Sciences, in preparation.  Comments about what to include welcome.

[lxii]  Tosio Kato's Work on Non--Relativistic Quantum Mechanics: An Outline, to appear in Proc. Kato Centenial Conference. pdf.gif (952 bytes)

[lxiii] Tosio Kato's Work on Non--Relativistic Quantum Mechanics: A Brief Report, to appear in IAMP News Bulletin and in Analysis and Operator Theory: In Honor of Tosio Katos 100 th Birthday, a volume edited by Th. M. Rassias and V. Zagrebnov to be published by Springer.

TALKS (may only be posted temporarily)

1.  Talk given at IWOPA '08 (Madrid, September 2008 in honor of Bill Lopez)  [pdf] [video]

2. Talk given at Newton Institute (December 2008)  [video]

3.  Tales of our Forefathers talk [pdf] [videoWARNING: Video is over 1.3 GB!  Another version on YouTube.

4.  More Tales of our Forefathers talk [pdf]

5.  Videos and Slides of 8 lectures on Spectral Theory of Orthogonal Polynomials givren at Issac Newton Institute are available  

6. Talk given at Celebrating the work of Prof. Edward Nelson (1932-2014), Princeton Math Colloquium, April 22, 2015. [pdf]

7.  Acceptance Talk at Bolyai Prize Ceremony (on "OPUC and me") [pdf]

8.  Talks on Large Deviations and Sum Rules for Orthogonal Polynomials at 14th Latin American Congress of Probability (CLAPEM XIV), Dec. 5-6, 2016, San Jose, Costa Rica:  Lectures one, two, three, four