Scattering Theory in Mathematical Physics

1. Front Matter

   Pages I-XII

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2. Scattering Theory for Dissipative Hyperbolic Systems

   • P. D. Lax, R. S. Phillips

   Pages 1-34

3. Scattering Theory in Waveguides

   • Charles Goldstein

   Pages 35-51

4. Nonlinear Scattering Theory

   • W. A. Strauss

   Pages 53-78

5. Scattering in Classical Mechanics

   • W. Hunziker

   Pages 79-96

6. Some Questions in Non-Relativistic Quantum Scattering Theory

   • W. O. Amrein

   Pages 97-140

7. Commutators and Local Decay

   • Richard Lavine

   Pages 141-156

8. Candidates for óac and Hac

   • Karl Gustafson

   Pages 157-168

9. Regular Perturbations

   • James S. Howland

   Pages 169-172

10. A Refinement of the Kato-Rosenblum Lemma and Its Applications in Scattering Theory: Relativistic Potential Scattering, High Energy Behaviour of Scattering Cross Sections and the Time-Delay Operator

    • Ph. Martin, B. Misra

    Pages 173-191

11. The Gel’fand-Levitan Method in the Inverse Scattering Problem

    • Roger G. Newton

    Pages 193-235

12. Perturbations of the Laplacian by Coulomb Like Potentials

    • J. C. Guillot, K. Zizi

    Pages 237-242

13. Analytic Perturbation Approach to N-Particle Quantum Systems

    • J. M. Combes

    Pages 243-272

14. Spin-Wave Scattering

    • R. F. Streater

    Pages 273-298

15. An Introduction to some Mathematical Aspects of Scattering Theory in Models of Quantum Fields

    • Sergio Albeverio

    Pages 299-381

16. History and Perspectives in Scattering Theory. A Strictly Personal View

    • Hans Ekstein

    Pages 383-389

These proceedings contain lectures given at the N.A.T.O. Advanced Study Institute entitled "Scattering Theory in Mathematics and Physics" held in Denver, Colorado, June 11-29, 1973. We have assembled the main series of lectures and some presented by other participants that seemed naturally to complement them. Unfortunately the size of this volume does not allow for a full account of all the contributions made at the Conference; however, all present were pleased by the number and breadth of those topics covered in the informal afternoon sessions. The purpose of the meeting, as reflected in its title, was to examine the single topic of scattering theory in as many of its manifestations as possible, i.e. as a hub of concepts and techniques from both mathematics and physics. The format of all the topics presented here is mathematical. The physical content embraces classical and quantum mechanical scattering, N-body systems and quantum field theoretical models. Left out are such subjects as the so-called analytic S-matrix theory and phenomeno­ logical models for high energy scattering. We would like to thank the main lecturers for their excellent presentations and written summaries. They provided a focus for the exceptionally strong interaction among the participants and we hope that some of the coherence achieved is reflected in these published notes. We have made no attempt to unify notation.

• Potential
• inverse scattering problem
• mathematical physics
• mechanics
• scattering theory

• Dept. of Mathematics, University of Denver, Denver, USA

  J. A. Lavita, J.-P. Marchand

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