Buch, Englisch, Band 76, 496 Seiten, Gewicht: 10 g
Buch, Englisch, Band 76, 496 Seiten, Gewicht: 10 g
Reihe: Proceedings of Symposia in Pure Mathematics
ISBN: 978-0-8218-4248-5
Verlag: American Mathematical Society
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. 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.
Zielgruppe
Research mathematicians interested in mathematical physics and spectral theory
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik EDV | Informatik Angewandte Informatik Computeranwendungen in Wissenschaft & Technologie
- Mathematik | Informatik Mathematik Mathematische Analysis Harmonische Analysis, Fourier-Mathematik
- Naturwissenschaften Physik Thermodynamik Festkörperphysik, Kondensierte Materie
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
- Mathematik | Informatik EDV | Informatik Professionelle Anwendung Computer-Aided Design (CAD)
- Technische Wissenschaften Technik Allgemein Computeranwendungen in der Technik
- Naturwissenschaften Physik Quantenphysik
- Naturwissenschaften Physik Angewandte Physik Statistische Physik, Dynamische Systeme
- Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
- Mathematik | Informatik Mathematik Mathematische Analysis Elementare Analysis und Allgemeine Begriffe
- Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
Weitere Infos & Material
Coherent infrared representations in non-relativistic QED, T. Chen and J. Frohlich
Quantum spin systems after DLS 1978, B. Nachtergaele
Barry Simon's contributions to quantum field theory, L. Rosen
Non-self-adjoint operators and pseudospectra, E. B. Davies
Barry Simon's contribution to non-relativistic quantum mechanics: Two-body and $N$-body Schrodinger operators and resonances, R. Froese
$N$-body quantum scattering and quantum resonances: An overview, C. Gerard
Mathematical analysis of Born-Oppenheimer approximations, G. A. Hagedorn and A. Joye
Perturbation theory and atomic resonances since Schrodinger's time, E. M. Harrell II
On a theorem for quantum mechanical scattering theory, A. Lenard
Analytic criteria in the qualitative spectral analysis of the Schrodinger operator, V. Maz'ya
The spectral geometry of geometrically finite hyperbolic manifolds, P. Perry
Topics in the theory of positive solutions of second-order elliptic and parabolic partial differential equations, Y. Pinchover
Complex scaling in atomic physics: A staging ground for experimental mathematics and for extracting physics from otherwise impossible computations, W. P. Reinhardt
Recent results on the Bethe-Sommerfeld conjecture, A. V. Sobolev
Aspects of the integer quantum Hall effect, G. M. Graf
Barry Simon's work on electric and magnetic fields and the semi-classical limit, I. W. Herbst
Some bound state problems in quantum mechanics, D. Hundertmark
Coherent infrared representations in non-relativistic QED, T. Chen and J. Frohlich
Quantum spin systems after DLS 1978, B. Nachtergaele
Barry Simon's contributions to quantum field theory, L. Rosen
Non-self-adjoint operators and pseudospectra, E. B. Davies
Barry Simon's contribution to non-relativistic quantum mechanics: Two-body and $N$-body Schrodinger operators and resonances, R. Froese
$N$-body quantum scattering and quantum resonances: An overview, C. Gerard
Mathematical analysis of Born-Oppenheimer approximations, G. A. Hagedorn and A. Joye
Perturbation theory and atomic resonances since Schrodinger's time, E. M. Harrell II
On a theorem for quantum mechanical scattering theory, A. Lenard
Analytic criteria in the qualitative spectral analysis of the Schrodinger operator, V. Maz'ya
The spectral geometry of geometrically finite hyperbolic manifolds, P. Perry
Topics in the theory of positive solutions of second-order elliptic and parabolic partial differential equations, Y. Pinchover
Complex scaling in atomic physics: A staging ground for experimental mathematics and for extracting physics from otherwise impossible computations, W. P. Reinhardt
Recent results on the Bethe-Sommerfeld conjecture, A. V. Sobolev
Aspects of the integer quantum Hall effect, G. M. Graf
Barry Simon's work on electric and magnetic fields and the semi-classical limit, I. W. Herbst
Some bound state problems in quantum mechanics, D. Hundertmark
