Item Successfully Added to Cart
An error was encountered while trying to add the item to the cart. Please try again.
OK
Please make all selections above before adding to cart
OK
Share this page via the icons above, or by copying the link below:
Copy To Clipboard
Successfully Copied!
Spectral Theory and Mathematical Physics: A Festschrift in Honor of Barry Simon’s 60th Birthday: Quantum Field Theory, Statistical Mechanics, and Nonrelativistic Quantum Systems
 
Edited by: Fritz Gesztesy University of Missouri, Columbia, Columbia, MO
Percy Deift New York University, Courant Institute, New York, NY
Cherie Galvez California Institute of Technology, Pasadena, CA
Peter Perry University of Kentucky, Lexington, KY
Wilhelm Schlag University of Chicago, Chicago, IL
Spectral Theory and Mathematical Physics: A Festschrift in Honor of Barry Simon's 60th Birthday
Hardcover ISBN:  978-0-8218-4248-5
Product Code:  PSPUM/76.1
List Price: $139.00
MAA Member Price: $125.10
AMS Member Price: $111.20
eBook ISBN:  978-0-8218-9382-1
Product Code:  PSPUM/76.1.E
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
Hardcover ISBN:  978-0-8218-4248-5
eBook: ISBN:  978-0-8218-9382-1
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
Spectral Theory and Mathematical Physics: A Festschrift in Honor of Barry Simon's 60th Birthday
Click above image for expanded view
Spectral Theory and Mathematical Physics: A Festschrift in Honor of Barry Simon’s 60th Birthday: Quantum Field Theory, Statistical Mechanics, and Nonrelativistic Quantum Systems
Edited by: Fritz Gesztesy University of Missouri, Columbia, Columbia, MO
Percy Deift New York University, Courant Institute, New York, NY
Cherie Galvez California Institute of Technology, Pasadena, CA
Peter Perry University of Kentucky, Lexington, KY
Wilhelm Schlag University of Chicago, Chicago, IL
Hardcover ISBN:  978-0-8218-4248-5
Product Code:  PSPUM/76.1
List Price: $139.00
MAA Member Price: $125.10
AMS Member Price: $111.20
eBook ISBN:  978-0-8218-9382-1
Product Code:  PSPUM/76.1.E
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
Hardcover ISBN:  978-0-8218-4248-5
eBook ISBN:  978-0-8218-9382-1
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 Details
     
     
    Proceedings of Symposia in Pure Mathematics
    Volume: 762007; 496 pp
    MSC: 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 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.

    Readership

    Research 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 non-relativistic 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 two-body 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 — Non-self-adjoint operators and pseudospectra [ MR 2310201 ]
    • Richard Froese — Barry Simon’s contributions to non-relativistic quantum mechanics: two-body 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 Born-Oppenheimer 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 second-order 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 Bethe-Sommerfeld 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 semi-classical limit [ MR 2310214 ]
    • Dirk Hundertmark — Some bound state problems in quantum mechanics [ MR 2310215 ]
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 762007; 496 pp
MSC: 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 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.

Readership

Research mathematicians interested in mathematical physics and spectral theory.

This item is also available as part of a set:
  • Quantum field theory, statistical mechanics
  • Michael Aizenman — Perspectives in statistical mechanics [ MR 2310196 ]
  • Thomas Chen and Jürg Fröhlich — Coherent infrared representations in non-relativistic 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 two-body 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 — Non-self-adjoint operators and pseudospectra [ MR 2310201 ]
  • Richard Froese — Barry Simon’s contributions to non-relativistic quantum mechanics: two-body 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 Born-Oppenheimer 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 second-order 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 Bethe-Sommerfeld 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 semi-classical limit [ MR 2310214 ]
  • Dirk Hundertmark — Some bound state problems in quantum mechanics [ MR 2310215 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.