# 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

### Table of Contents

**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]