AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution
Spectral Theory and Mathematical Physics: A Festschrift in Honor of Barry Simon’s 60th Birthday, Part 1: Quantum Field Theory, Statistical Mechanics, and Nonrelativistic Quantum Systems
About this Title
Fritz Gesztesy, University of Missouri, Columbia, Columbia, MO, Percy Deift, New York University, Courant Institute, New York, NY, Cherie Galvez, California Institute of Technology, Pasadena, CA, Peter Perry, University of Kentucky, Lexington, KY and Wilhelm Schlag, University of Chicago, Chicago, IL, Editors
Publication: Proceedings of Symposia in Pure Mathematics
Publication Year:
2007; Volume 76.1
ISBNs: 978-0-8218-4248-5 (print); 978-0-8218-9382-1 (online)
DOI: https://doi.org/10.1090/pspum/076.1
ReadershipTable of Contents
Download chapters as PDF
Front/Back Matter
Quantum field theory, statistical mechanics
- Michael Aizenman – Perspectives in statistical mechanics [MR 2310196]
- Thomas Chen and Jürg Fröhlich – Coherent infrared representations in non-relativistic QED [MR 2310197]
- Bruno Nachtergaele – Quantum spin systems after DLS 1978 [MR 2310198]
- Lon Rosen – Barry Simon’s contributions to quantum field theory [MR 2310199]
Nonrelativistic two-body and $N$-body quantum systems, resonances
- Mark S. Ashbaugh and Rafael D. Benguria – Isoperimetric inequalities for eigenvalues of the Laplacian [MR 2310200]
- E. B. Davies – Non-self-adjoint operators and pseudospectra [MR 2310201]
- Richard Froese – Barry Simon’s contributions to non-relativistic quantum mechanics: two-body and $N$-body Schrödinger operators and resonances [MR 2310202]
- Christian Gérard – $N$-body quantum scattering and quantum resonances: an overview [MR 2310203]
- George A. Hagedorn and Alain Joye – Mathematical analysis of Born-Oppenheimer approximations [MR 2310204]
- Evans M. Harrell, II – Perturbation theory and atomic resonances since Schrödinger’s time [MR 2310205]
- Andrew Lenard – On a theorem for quantum mechanical scattering theory [MR 2310206]
- Vladimir Maz′ya – Analytic criteria in the qualitative spectral analysis of the Schrödinger operator [MR 2310207]
- Peter Perry – The spectral geometry of geometrically finite hyperbolic manifolds [MR 2310208]
- Yehuda Pinchover – Topics in the theory of positive solutions of second-order elliptic and parabolic partial differential equations [MR 2310209]
- William P. Reinhardt – Complex scaling in atomic physics: a staging ground for experimental mathematics and for extracting physics from otherwise impossible computations [MR 2310210]
- Alexander V. Sobolev – Recent results on the Bethe-Sommerfeld conjecture [MR 2310211]
Electric and magnetic fields, semiclassical limit
- László Erdős – Recent developments in quantum mechanics with magnetic fields [MR 2310212]
- Gian Michele Graf – Aspects of the integer quantum Hall effect [MR 2310213]
- Ira W. Herbst – Barry Simon’s work on electric and magnetic fields and the semi-classical limit [MR 2310214]
- Dirk Hundertmark – Some bound state problems in quantum mechanics [MR 2310215]