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Quantum Inversion Theory and Applications

Proceedings of the 109th W.E. Heraeus Seminar Held at Bad Honnef, Germany, May 17–19, 1993

  • Conference proceedings
  • © 1994

Overview

Editors:
  1. H. V. Geramb

    1. Theoretische Kernphysik, Universität Hamburg, Hamburg, Germany

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Part of the book series: Lecture Notes in Physics (LNP, volume 427)

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Table of contents (30 papers)

  1. Front Matter

    Pages I-VIII
    Download chapter PDF

  2. An Overview of Some Inverse Problems and Techniques

    • D. N. Ghosh Roy
    Pages 1-13

  3. A New Approach to the Inverse Sturm—Liouville Problem

    • B. M. Levitan
    Pages 14-29

  4. Remarks on the Inverse Scattering Transform associated with Toda equations

    • Mark J. Ablowitz, J. Villorroel
    Pages 30-36

  5. Inverse Scattering in One Dimension for a Generalized Schrödinger Equation

    • Tuncay Aktosun, Cornelis van der Mee
    Pages 37-49

  6. The Potentialless Approach to the Inverse Scattering Problem

    • V. E. Troitsky
    Pages 50-66

  7. Multidimensional and Three-Body Inverse Scattering Problems in the Adiabatic Representation

    • A. A. Suzko
    Pages 67-106

  8. Solvable Potentials Derived from Supersymmetric Quantum Mechanics

    • G. Lévai
    Pages 107-126

  9. Phase-Equivalent Potentials from Supersymmetric Quantum Mechanics

    • Daniel Baye
    Pages 127-138

  10. Investigation of the Partner—Potentials from Supersymmetric Quantum Mechanics by Bremsstrahlung

    • Q. K. K. Liu
    Pages 139-148

  11. Quantum Inversion on the Line for Neutron Specular Reflection

    • R. Lipperheide
    Pages 149-161

  12. Exotics of the Schrödinger Problem on the Line

    • P. C. Sabatier
    Pages 162-175

  13. Inversion at Fixed-Energy for Nonlocal and Algebraic Potentials and N-Body Spectral Inversion

    • H. Fiedeldey
    Pages 176-199

  14. Heavy Ion Scattering; A Fixed Energy Inverse Problem

    • K. Amos
    Pages 200-226

  15. Potentials in the Algebraic Scattering Theory

    • A. Zielke, W. Scheid
    Pages 227-240

  16. Darboux-Crum-Krein Transformations and Generalized Bargmann Potentials

    • H. Leeb
    Pages 241-251

  17. Electron—Atom Scattering Potentials Obtained by Inversion at Fixed Energy

    • B. Apagyi, P. Lévay
    Pages 252-265

  18. Nucleon-Nucleus Potentials by IP Inversion

    • R. S. Mackintosh, S. G. Cooper
    Pages 266-284

  19. Nucleon—Nucleon Potentials from Phase Shifts and Inversion

    • H. V. von Geramb, H. Kohlhoff
    Pages 285-313

  20. Coupled Channels Marchenko Inversion for Nucleon—Nucleon Potentials

    • H. Kohlhoff, H. V. von Geramb
    Pages 314-341
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Keywords

About this book

This volume covers aspects of Schr|dinger equation inversion for the purposeof determining interaction potentials in particle, nuclear and atomic physics from experimental data. It includes reviews and reports on the latest developments in mathematics, supersymmetric quantum mechanics, inversion for fixed-l nucleon-nucleon potentials, inversion of fixed-E optical potentials and their generalizations. Also included are some topics on nonlinear differential equations relating to theSchr|dinger or other equations of particle, nuclear, atomic and molecular physics which can be solved by inverse scattering transformations. The material collected in this volume gives a clear picture of the status ofresearch in this rapidly growing field. The book addresses students and young scientists as well as researchers in theoretical physics and functional analysis.

Editors and Affiliations

  • Theoretische Kernphysik, Universität Hamburg, Hamburg, Germany

    H. V. Geramb

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