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 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. 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
Introduces the basic tools in spectral analysis using numerous examples from the Schrödinger operator theory and various branches of physics.
The spectral theory of linear operators plays a key role in the mathematical formulation of quantum theory.
This book pursues the accurate study of the mathematical foundations of Quantum Theories.
This volume presents self-contained survey articles on modern research areas written by experts in their fields.
This book discusses the mathematical foundations of quantum theories.
Parabolicity, Wolterra Calculus, and Comical Singularities (2002) |SBN 3-7643-6905-X OT 137: Dybin, W. 1 Grudsky, S.M. Introduction to the Theory of Toeplitz Operators with Infinite Index (2002) ISBN 3-7643-6905-X OT 136: Wong, ...
Spectral Theory and Wave Processes
Spectral Theory
This volume contains the proceedings of the OTAMP 2008 (Operator Theory, Analysis and Mathematical Physics) conference held at the Mathematical Research and Conference Center in Bedlewo near Poznan.