Spectral theory and mathematical physics : a festschrift in honor of Barry Simon's 60th birthday : quantum field theory, statistical mechanics, and nonrelativistic quantum systems : a conference on spectral theory and mathematical physics in honor of Barry Simon's 60th birthday, March 27-31, 2006, California Institute of Technology, Pasadena, California / Fritz Gesztesy [and four others], editors.

Format:

Book

Conference/Event

Author/Creator:

Conference on spectral theory and mathematical physics, Corporate Author.

Contributor:

Simon, Barry, honouree.

Gesztesy, Fritz, editor.

Conference Name:

Conference on spectral theory and mathematical physics (2006 : California Institute of Technology), issuing body.

Series:

Proceedings of symposia in pure mathematics ; volume 76, part 1.

Proceedings of symposia in pure mathematics ; volume 76, part 1

Language:

English

Subjects (All):

Spectral theory (Mathematics)--Congresses.

Spectral theory (Mathematics).

Physical Description:

1 online resource (528 p.)

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [2007]

Language Note:

English

Summary:

This Festschrift had its origins in a conference called SimonFest held at Caltech, March 27-31, 2006, to honor Barry Simon's 60th birthday. It is not a proceedings volume in the usual sense since the emphasis of the majority of the contributions is on reviews of the state of the art of certain fields, with particular focus on recent developments and open problems. The bulk of the articles in this Festschrift are of this survey form, and a few review Simon's contributions to aparticular area. Part 1 contains surveys in the areas of Quantum Field Theory, Statistical Mechanics, Nonrelativistic Two-Body and $N$-Body Quantum Systems, Resonances, Quantum Mechanics with Electric and Magnetic Fields, and the Semiclassical Limit. Part 2 contains surveys in the areas of Random andErgodic Schrodinger Operators, Singular Continuous Spectrum, Orthogonal Polynomials, and Inverse Spectral Theory. In several cases, this collection of surveys portrays both the history of a subject and its current state of the art. A substantial part of the contributions to this Festschrift are survey articles on the state of the art of certain areas with special emphasis on open problems. This will benefit graduate students as well as researchers who want to get a quick, yet comprehensiveintroduction into an area covered in this volume.

Contents:

""Contents""; ""Part 1. Quantum Field Theory, Statistical Mechanics, and Nonrelativistic Quantum Systems""; ""Preface""; ""A Mathematical Genealogy""; ""A Selection of Barry Stories""; ""Quantum Field Theory, Statistical Mechanics""; ""Perspectives in Statistical Mechanics""; ""Coherent Infrared Representations in Non-Relativistic QED""; ""Quantum Spin Systems After DLS 1978""; ""Barry Simon's Contributions to Quantum Field Theory""; ""Nonrelativistic Two-Body and N-Body Quantum Systems, Resonances""; ""Isoperimetric Inequalities for Eigenvalues of the Laplacian""

""The Spectral Geometry of Geometrically Finite Hyperbolic Manifolds """"Topics in the Theory of Positive Solutions of Second-Order Elliptic and Parabolic Partial Differential Equations""; ""Complex Scaling in Atomic Physics: A Staging Ground for Experimental Mathematics and for Extracting Physics from Otherwise Impossible Computations""; ""Recent Results on the Bethe�Sommerfeld Conjecture""; ""Electric and Magnetic Fields, Semiclassical Limit""; ""Recent Developments in Quantum Mechanics with Magnetic Fields""; ""Aspects of the Integer Quantum Hall Effect""

""Barry Simon's Work on Electric and Magnetic Fields and the Semi-Classical Limit""""Some Bound State Problems in Quantum Mechanics""

Notes:

Description based upon print version of record.

Includes bibliographical references.

Description based on online resource; title from PDF title page (ebrary, viewed May 20, 2014).

ISBN:

0-8218-9382-3