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Schrödinger Operators The Quantum Mechanical Many-Body Problem

Proceedings of a Workshop Held at Aarhus, Denmark 15 May - 1 August 1991

  • Conference proceedings
  • © 1992

Overview

Editors:
  1. Erik Balslev

    1. Matematisk Institut, Universitetsparken, Aarhus C, Denmark

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Part of the book series: Lecture Notes in Physics (LNP, volume 403)

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Table of contents (16 papers)

  1. Front Matter

    Pages I-VIII
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  2. Perturbations of Generalized Schrödinger Operators in Stochastic Spectral Analysis

    • Michael Demuth, J. A. van Casteren
    Pages 1-15

  3. Some Transport and Spectral Properties of Disordered Media

    • J.-M. Combes, P. D. Hislop
    Pages 16-47

  4. Spectral Theory of Schrödinger Operators with Very Long Range Potentials

    • Jaime Cruz-Sampedro
    Pages 48-55

  5. Asymptotic completeness of long range N-body systems. Main ideas of a proof

    • Jan Dereziński
    Pages 56-72

  6. A remark on Asymptotic Clustering for N—particle Quantum Systems

    • J. Derezinski, C. Gérard
    Pages 73-78

  7. The Energy Asymptotics of Large Coulomb Systems

    • C. L. Fefferman, V. Ja. Ivrii, L. A. Seco, I. M. Sigal
    Pages 79-99

  8. Quantum Stability

    • James S. Howland
    Pages 100-122

  9. On the S-matrix for three body Schrödinger Operators

    • Hiroshi Isozaki
    Pages 123-144

  10. Eigenvalues and Resonances of Polyatomic Molecules in the Born-Oppenheimer Approximation

    • André Martinez
    Pages 145-152

  11. Asymptotic Neutrality of Polyatomic Molecules

    • Mary Beth Ruskai, Jan Philip Solovej
    Pages 153-174

  12. Time-Delay in Short Range Potential Scattering

    • Kalyan B. Sinha, A. Mahapatra
    Pages 175-185

  13. On smoothness of the N-body S-matrix

    • Erik Skibsted
    Pages 186-193

  14. Semiclassical Approximation for Schrödinger Operators at High Energy

    • Lawrence E. Thomas, Stephen R. Wassell
    Pages 194-210

  15. On the Magnetic Stark Resonances in Two Dimensional Case

    • Xue Ping Wang
    Pages 211-233

  16. Radiation Conditions and Scattering Theory for N-Particle Schrödinger Operators

    • D. Yafaev
    Pages 234-247

  17. Gevrey Frequency Set and Semi—Classical Behaviour of Wave Packets

    • Kenji Yajima
    Pages 248-264
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Keywords

About this book

In these proceedings basic questions regarding n-body Schr|dinger operators are dealt with, such as asymptotic completeness of systems with long-range potentials (including Coulomb), a new proof of completeness for short-range potentials, energy asymptotics of large Coulomb systems,asymptotic neutrality of polyatomic molecules. Other contributions deal withdifferent types of problems, such as quantum stability, Schr|dinger operators on a torus and KAM theory, semiclassical theory, time delay, radiation conditions, magnetic Stark resonances, random Schr|dinger operators and stochastic spectral analysis. The volume presents the results in such detail that it could well serve as basic literature for seminar work.

Editors and Affiliations

  • Matematisk Institut, Universitetsparken, Aarhus C, Denmark

    Erik Balslev

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