Mathematical Methods and Applications of Scattering Theory

Multiple scattering of waves by correlated distributions....Pages 3-9
The S-matrix and sonar echo structure....Pages 10-16
Some applications of functional analysis in classical scattering....Pages 17-25
Numerical methods for Helmholtz-type equations in unbounded regions....Pages 26-33
The role of surface waves in scattering processes of nuclear physics and acoustics....Pages 34-52
Topics in radar scattering theory....Pages 53-59
Coherent scattering from rough surfaces....Pages 60-70
Application of a technique of Franklin and Friedman to some problems in acoustics....Pages 71-80
High-frequency signal propagation and scattering in guiding channels....Pages 81-88
Scattering by moving bodies: The Quasi-Stationary approximation....Pages 89-91
Variational methods for wave scattering from random systems....Pages 92-94
Resonance theory and application....Pages 95-105
Application of elastodynamic ray theory to diffraction by cracks: Theory and experiment....Pages 106-110
Scattering of acoustic waves by elastic and viscoelastic obstacle of arbitary shaped immersed in water....Pages 111-113
Multipole reasonances in elastic wave-scattering from cavities and in acoustic wave-scaterring from bubbles and droplets....Pages 114-120
Scattering theory in the mixed representation....Pages 121-127
Green and lanford revisited....Pages 128-133
A two-Hilbert-space formulation of multi-channel scattering theory....Pages 134-148
Mathematical questions of quantum mechanics of many-body systems....Pages 149-158
Scattering from point interactions....Pages 159-162
Two problems with time-dependent Hamiltonians....Pages 163-168
Translation invariance of N-particle Schrodinger operators in homogeneous magnetic fields....Pages 169-174
Wave operators for multi-channel long-range scattering....Pages 175-181
Asymptotic completeness in classical three-body scattering....Pages 182-189
Canonical scattering theory for relativistic particles....Pages 190-196
Consistent models of spin 0 and 1/2 extended particles scattering in external fields....Pages 197-203
Curved-space scattering....Pages 204-210
Levinson\'s theorems and the quantum-mechanical partition function for plasmas....Pages 211-215
A cluster expansion and effective-potential representation of the three-body problem....Pages 216-224
Quantum-statistical mechanics and scattering theory on homogeneous spaces of finite volume....Pages 225-229
What do we know about the geometric nature of equations which can be solved using the inverse scattering technique?....Pages 233-239
Solitons, solutions of nonlinear evolution equations, and the inverse scattering transform....Pages 240-246
Determining the final profiles from the initial profiles for the full three-dimensional three-wave resonant interaction....Pages 247-254
Ordinary differential equations of painleve-type and the inverse scattering transform....Pages 255-259
Exact solutions for the three-dimensional schrödinger equation with quasi-local potentials obtained from a three-dimensional Gel\'fand-Levitan equation. Examples of totally reflectionless scattering....Pages 260-267
The Jost-Kohn algorithm for inverse scattering....Pages 268-270
Application of nonlinear techniques to the inverse problem....Pages 271-276
N-dimensional fast fourier transform tomography for incomplete information and its application to inverse scattering theory....Pages 277-289
Two acoustical inverse problems in speech and hearing....Pages 290-300
Development of physical optics inverse scattering techniques using radon projection theory....Pages 301-307
An iterative procedure for solving inverse scattering problems arising from active remote sensing....Pages 308-310
One-dimensional velocity inversion for acoustic waves: Numerical results....Pages 311-317
Inverse scattering theory: Exact and approximate solutions....Pages 318-326
Functional equation of inverse scattering for the schrödinger equation with continuous and discrete spectra (short note)....Pages 327-331