Inverse problems in quantum scattering theory

Author(s)

• Chadan, K. (Khosrow)
• Sabatier, Pierre Célestin

Bibliographic Information

Inverse problems in quantum scattering theory

K. Chadan and P.C. Sabatier ; with a foreword by R.G. Newton

（Texts and monographs in physics）

Springer-Verlag, c1989

2nd ed., rev. and expanded

• : New York
• : Berlin

Note

Bibliography: p. [441]-493

Includes index

Description and Table of Contents

Description

The physical importance of inverse problems in quantum scattering theory is clear since all the information we can obtain on nuclear, particle, and subparticle physics is gathered from scattering experiments. Exact and approximate methods of investigating scattering theory, inverse radial problems at fixed energy, inverse one-dimensional problems, inverse three-dimensional problems, and construction of the scattering amplitude from the cross section are presented. The methods often apply to other fields, e. g. applied mathematics and geophysics. The book will therefore be of interest to theoretical and mathematical physicists, nuclear particle physicists, and chemical physicists. For the second edition the chapters on one-dimensional and three-dimensional scattering problems have been rewritten and considerably expanded. Furthermore, two new chapters on spectral problems and on numerical aspects have been added; in the sections on classical methods the comments and references have been updated.

Table of Contents

• Contents: Some Results from Scattering Theory
• Bound States - Eigenfunction Expansions
• The Gel'fand-Levitan-Jost-Kohn Method
• Applications of the Gel'fand-Levitan Equation
• The Marchenko Method
• Examples
• Special Classes of Potentials
• Nonlocal Separable Interactions
• Miscellaneous Approaches to the Inverse Problems at Fixed l
• Scattering Amplitudes from Elastic Cross Sections
• Potentials from the Scattering Amplitude at Fixed Energy: General Equation and Mathematical Tools
• Potentials from the Scattering Amplitude at Fixed Energy: Matrix Methods
• Potentials from the Scattering Amplitude at Fixed Energy: Operator Methods
• The Three-Dimensional Inverse Problem
• Miscellaneous Approaches to Inverse Problems at Fixed Energy
• Approximate Methods
• Inverse Problems in One Dimension
• Problems Connected with Discrete Spectra
• Numerical Problem
• Reference List
• Subject Index.

by "Nielsen BookData"

Details

• NCID: BA06752283
• ISBN:
  • 0387187316
  • 3540187316
• LCCN: 88020147
• Country Code: us
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: New York ; Tokyo
• Pages/Volumes: xxxi, 499 p.
• Size: 25 cm
• Classification:
  • LCC : QC20.7.S3
  • DC19 : 530.1/5
• Subject Headings:
  • LCSH : Scattering (Physics)
  • LCSH : Scattering (Mathematics)
  • LCSH : Quantum theory
  • LCSH : Inverse problems (Differential equations)
• Parent Bibliography ID:
  • BA00216852