Inverse Problems in Quantum Scattering Theory

Front Matter....Pages i-xxii
Some Results from Scattering Theory....Pages 1-19
Bound States Eigenfunction Expansions....Pages 20-34
The Gel’fand-Levitan-Jost-Kohn Method....Pages 35-52
Applications of Gel’fand — Levitan Equation....Pages 53-69
The Marchenko Method....Pages 70-78
Examples....Pages 79-87
Special Classes of Potentials....Pages 88-104
Nonlocal Separable Interactions....Pages 105-119
Miscellaneous Approaches to the Inverse Problems at Fixed l ....Pages 120-145
Scattering Amplitudes from Elastic Cross Sections....Pages 146-171
Potentials from the Scattering Amplitude at Fixed Energy: General Equation and Mathematical Tools....Pages 172-184
Potentials from the Scattering Amplitude at Fixed Energy: Matrix Methods....Pages 185-203
Potentials from the Scattering Amplitude at Fixed Energy: Operator Methods....Pages 204-226
The Three-Dimensional Inverse Problem....Pages 227-246
Miscellaneous Approaches to Inverse Problems at Fixed Energy....Pages 247-261
Approximate Methods....Pages 262-294
Inverse Problems in One Dimension....Pages 295-315
Back Matter....Pages 317-346