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Hardcover ISBN:  9780821842485 
Product Code:  PSPUM/76.1 
List Price:  $139.00 
MAA Member Price:  $125.10 
AMS Member Price:  $111.20 
eBook ISBN:  9780821893821 
Product Code:  PSPUM/76.1.E 
List Price:  $135.00 
MAA Member Price:  $121.50 
AMS Member Price:  $108.00 
Hardcover ISBN:  9780821842485 
eBook ISBN:  9780821893821 
Product Code:  PSPUM/76.1.B 
List Price:  $274.00 $206.50 
MAA Member Price:  $246.60 $185.85 
AMS Member Price:  $219.20 $165.20 

Book DetailsProceedings of Symposia in Pure MathematicsVolume: 76; 2007; 496 ppMSC: Primary 35; 47; 81; 82;
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 TwoBody 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.
ReadershipResearch mathematicians interested in mathematical physics and spectral theory.
This item is also available as part of a set: 
Table of Contents

Quantum field theory, statistical mechanics

Michael Aizenman — Perspectives in statistical mechanics [ MR 2310196 ]

Thomas Chen and Jürg Fröhlich — Coherent infrared representations in nonrelativistic 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 twobody 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 — Nonselfadjoint operators and pseudospectra [ MR 2310201 ]

Richard Froese — Barry Simon’s contributions to nonrelativistic quantum mechanics: twobody 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 BornOppenheimer 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 secondorder 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 BetheSommerfeld 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 semiclassical limit [ MR 2310214 ]

Dirk Hundertmark — Some bound state problems in quantum mechanics [ MR 2310215 ]


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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 TwoBody 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.
Research mathematicians interested in mathematical physics and spectral theory.

Quantum field theory, statistical mechanics

Michael Aizenman — Perspectives in statistical mechanics [ MR 2310196 ]

Thomas Chen and Jürg Fröhlich — Coherent infrared representations in nonrelativistic 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 twobody 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 — Nonselfadjoint operators and pseudospectra [ MR 2310201 ]

Richard Froese — Barry Simon’s contributions to nonrelativistic quantum mechanics: twobody 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 BornOppenheimer 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 secondorder 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 BetheSommerfeld 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 semiclassical limit [ MR 2310214 ]

Dirk Hundertmark — Some bound state problems in quantum mechanics [ MR 2310215 ]