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Schrödinger Operators

Proceedings of the Nordic Summer School in Mathematics Held at Sandbjerg Slot, Sønderborg, Denmark, August 1–12, 1988

  • Conference proceedings
  • © 1989

Overview

Editors:
  1. Helge Holden
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  2. Arne Jensen
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Part of the book series: Lecture Notes in Physics (LNP, volume 345)

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Table of contents (14 papers)

  1. Front Matter

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  2. Dirichlet forms and generalized Schrödinger operators

    • Sergio Alberio, Johannes Brasche, Michael Röckner
    Pages 1-42

  3. Asymptotic properties of resonance functions and generalized eigenfunctions

    • Erik Balslev
    Pages 43-64

  4. Path integrals for relativistic Schrodinger operators

    • Rene Carmona
    Pages 65-92

  5. Some applications of commutation methods

    • F. Gesztesy
    Pages 93-117

  6. Equation de Schrödinger avec champ magnétique et équation de Harper

    • B. Helffer, J. Sjőstrand
    Pages 118-197

  7. Asymptotic perturbation theory for Schrödinger eigenvalue problems

    • W. Hunziker
    Pages 198-206

  8. Introduction to N-body Schrödinger operators

    • W. Hunziker
    Pages 207-217

  9. Nonlinear Schrödinger equations

    • Tosio Kato
    Pages 218-263

  10. Random Schrödinger operators a course

    • Werner Kirsch
    Pages 264-370

  11. Kinetic energy bounds and their application to the stability of matter

    • Elliott H. Lieb
    Pages 371-382

  12. On the use of intertwining operators in inverse scattering

    • Anders Melin
    Pages 383-400

  13. Inverse spectral problems on compact Riemannian manifolds

    • Peter A. Perry
    Pages 401-426

  14. Many-body scattering problem

    • I. M. Sigal
    Pages 427-443

  15. Stability of relativistic Coulomb and gravitating systems

    • Horng-Tzer Yau
    Pages 444-458
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Keywords

About this book

Understanding quantum mechanics inevitably leads to an in-depth study of the Schrödinger operator. This set of review lectures informs researchers and advanced students of the most recent developments in the analysis of the Schrödinger operator occurring in solid-state physics, nuclear physics, etc. The topics covered are nonlinear and random potentials, magnetic fields, and many-body problems. Inverse spectral theory is also treated. The results are mathematically rigorous and many physical implications are discussed. The book is suitable for advanced courses in mathematical physics.

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