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 a particular 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 and Ergodic Schrödinger 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. Exhaustive lists of references enhance the presentation offered in these surveys. 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 comprehensive introduction into an area covered in this volume.

Spectral Theory and Mathematical Physics: A Festschrift in Honor of Barry Simon's 60th Birthday: Quantum Field Theory, Statistical Mechanics, and ... (Proceedings of Symposia in Pure Mathematics)

Science & Math

Percy Deift

Fritz Gesztesy

Cherie Galvez

Peter Perry

and Wilhelm Schlag

Mathematics

Amer Mathematical Society

Spectral Theory and Mathematical Physics: A Festschrift in Honor of Barry Simon's 60th Birthday: Ergodic Schrödinger Operators, Singular Spectrum, ... (Proceedings of Symposia in Pure Mathematics)

American Mathematical Society

Sturm–Liouville Operators, Their Spectral Theory, and Some Applications (Colloquium Publications)

Roger Nichols

Maxim Zinchenko

Partial Differential Equations, Spectral Theory, and Mathematical Physics: The Ari Laptev Anniversary Volume (Ems of Congress Reports, 18)

Rupert L. Frank

Helge Holden

Pavel Exner

Timo Weidl

European Mathematical Society

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