BARRY SIMON
I.B.M. Professor of Mathematics and Theoretical Physics
Click here for a complete list of B. Simon's
publications with links to MathSciNet and articles.
To access B. Simon's recent papers, click here for [.tex]
or [.dvi] or [.ps] or [.pdf]
format.
To subscribe to B. Simon's electronic preprint mailing list, click here.
A.B., Harvard College, 1966
Ph.D. in Physics, Princeton University, 1970
B. Simon's Graduate Students
B. Simon's "Mentees"
Research Interests
Mathematical physics, especially Schrödinger operators
Selected Recent Publications
- (with A. Gordon, S. Jitomirskaya and Y. Last) Duality and singular continuous spectrum
in the almost Mathieu equation, Acta Math. 178 (1997), 169-183
- The classical moment problem as a self-adjoint finite difference operator,
Advances in Math. 137 (1998), 82-203
- (with Y. Last) Eigenfunctions, transfer matrices, and absolutely continuous spectrum of
one-dimensional Schrödinger operators, Invent. Math. 135 (1999),
329-367
- A new approach to inverse spectral theory, I. Fundamental formalism,
Annals of Math.
150 (1999), 1029-1057
- (with F. Gesztesy) A new approach to inverse spectral theory, II. General real
potentials and the connection to the spectral measure,
Annals of Math. 152
(2000), 593-643
- (with R. Killip) Sum rules for Jacobi matrices and their applications
to spectral theory, Annals of Math. 158 (2003), 253-321.
Selected Older Publications
- Resonances in n-body quantum systems with dilatation analytic potentials
and the foundations of time-dependent perturbation theory, Annals of Math. 97
(1973), 247-274
- (with M. Reed) Methods of Modern Mathematical Physics, Vol. I: Functional Analysis,
Academic Press, 1972; Vol. II: Fourier Analysis, Self-Adjointness, Academic Press,
1975; Vol. III: Scattering Theory, Academic Press, 1978; Vol. IV: Analysis of
Operators, Academic Press, 1977
- (with F. Guerra and L. Rosen) The P(\phi)_2 quantum theory as classical
statistical mechanics, Annals of Math. 101 (1975), 111-259
- (with E. Lieb) The Thomas-Fermi theory of atoms, molecules and solids, Advances
in Math.
23 (1977), 22-116
- (with J. Fröhlich and T. Spencer) Infrared bounds, phase transitions and continuous
symmetry breaking, Commun. Math. Phys. 50 (1976), 79-85
- (with P. Perry and I. Sigal) Spectral analysis of multiparticle Schrödinger
operators, Annals of Math. 114 (1981), 519-567
- (with M. Aizenman) Brownian motion and Harnack's inequality for Schrödinger
operators, Commun. Pure Appl. Math. 35 (1982), 209-273
- Semiclassical analysis of low lying eigenvalues, II. Tunneling, Annals
of Math. 120
(1984), 89-118
- Holonomy, the quantum adiabatic theorem and Berry's phase, Phys. Rev. Lett. 51
(1983), 2167-2170
- (with T. Wolff) Singular continuous spectrum under rank one perturbations and
localization for random Hamiltonians, Commun. Pure Appl. Math. 39 (1986), 75-90
- Operators with singular continuous spectrum: I. General operators,
Annals of of Math. 141
(1995), 131-145
Courses Taught
Barry with a Calculus Student's most powerful weapons
Non-Caltech Items
Go to the Directory for mailing address, fax and telephone
numbers, and e-mail address.
For paper submissions to Communications in Mathematical Physics or other items
that need the attention of Barry Simon's secretary, please contact Cherie Galvez .
B. Simon's complete list of publications and co-authors
B. Simon's papers available from the Mathematical Physics
Preprint Archive
Click
here to get a listing of B. Simon's papers from the AMS MathSciNet with links to
Mathematical Reviews.
(Note: You or your institution must have a valid MathSciNet subscription.)
Schedule of mathematical physics seminars at
Caltech
Math Department Home Page
