Contents Part 1. Quantu m Field Theory, Statistical Mechanics, and Nonrelativistic Quantu m System s Preface ix A Mathematical Genealogy xiii A Selection of Barry Stories xvii Quantum Field Theory, Statistical Mechanics Perspectives in Statistical Mechanics MICHAEL AIZENMAN 3 Coherent Infrared Representations in Non-Relativistic QED THOMAS CHEN and JURG FROHLICH 25 Quantum Spin Systems After DLS 1978 BRUNO NACHTERGAELE 47 Barry Simon's Contributions to Quantum Field Theory LON ROSEN 69 Nonrelativistic Two-Body and iV-Body Quantum Systems, Resonances Isoperimetric Inequalities for Eigenvalues of the Laplacian MARK S. ASHBAUGH and RAFAEL D. BENGURIA 105 Non-Self-Adjoint Operators and Pseudospectra E. B. DAVIES 141 Barry Simon's Contributions to Non-Relativistic Quantum Mechanics: Two-Body and A^-Body Schrodinger Operators and Resonances RICHARD FROESE 153 N-Body Quantum Scattering and Quantum Resonances: An Overview CHRISTIAN GERARD 169 Mathematical Analysis of Born-Oppenheimer Approximations GEORGE A. HAGEDORN and ALAIN JOYE 203

Purchased from American Mathematical Society for the exclusive use of nofirst nolast (email unknown) Copyright 2007 American Mathematical Society. Duplication prohibited. Please report unauthorized use to cust-serv@ams.org. Thank You! Your purchase supports the AMS' mission, programs, and services for the mathematical community.