Mathematical Methods and Applications of Scattering Theory
Proceedings of a Conference Held at Catholic University Washington, D. C., May 21 - 25, 1979
Published on 1. August 1980
Book
Paperback/Softback
XIII, 334 pages
978-3-540-10023-2 (ISBN)
Description
Multiple scattering of waves by correlated distributions.- The S-matrix and sonar echo structure.- Some applications of functional analysis in classical scattering.- Numerical methods for Helmholtz-type equations in unbounded regions.- The role of surface waves in scattering processes of nuclear physics and acoustics.- Topics in radar scattering theory.- Coherent scattering from rough surfaces.- Application of a technique of Franklin and Friedman to some problems in acoustics.- High-frequency signal propagation and scattering in guiding channels.- Scattering by moving bodies: The Quasi-Stationary approximation.- Variational methods for wave scattering from random systems.- Resonance theory and application.- Application of elastodynamic ray theory to diffraction by cracks: Theory and experiment.- Scattering of acoustic waves by elastic and viscoelastic obstacle of arbitary shaped immersed in water.- Multipole reasonances in elastic wave-scattering from cavities and in acoustic wave-scaterring from bubbles and droplets.- Scattering theory in the mixed representation.- Green and lanford revisited.- A two-Hilbert-space formulation of multi-channel scattering theory.- Mathematical questions of quantum mechanics of many-body systems.- Scattering from point interactions.- Two problems with time-dependent Hamiltonians.- Translation invariance of N-particle Schrodinger operators in homogeneous magnetic fields.- Wave operators for multi-channel long-range scattering.- Asymptotic completeness in classical three-body scattering.- Canonical scattering theory for relativistic particles.- Consistent models of spin 0 and 1/2 extended particles scattering in external fields.- Curved-space scattering.- Levinson's theorems and the quantum-mechanical partition function for plasmas.- A cluster expansion and effective-potential representation of the three-body problem.- Quantum-statistical mechanics and scattering theory on homogeneous spaces of finite volume.- What do we know about the geometric nature of equations which can be solved using the inverse scattering technique?.- Solitons, solutions of nonlinear evolution equations, and the inverse scattering transform.- Determining the final profiles from the initial profiles for the full three-dimensional three-wave resonant interaction.- Ordinary differential equations of painleve-type and the inverse scattering transform.- 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.- The Jost-Kohn algorithm for inverse scattering.- Application of nonlinear techniques to the inverse problem.- N-dimensional fast fourier transform tomography for incomplete information and its application to inverse scattering theory.- Two acoustical inverse problems in speech and hearing.- Development of physical optics inverse scattering techniques using radon projection theory.- An iterative procedure for solving inverse scattering problems arising from active remote sensing.- One-dimensional velocity inversion for acoustic waves: Numerical results.- Inverse scattering theory: Exact and approximate solutions.- Functional equation of inverse scattering for the schrödinger equation with continuous and discrete spectra (short note).
More details
Series
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
20 s/w Abbildungen
XIII, 334 p. 20 illus.
Dimensions
Height: 244 mm
Width: 170 mm
Thickness: 20 mm
Weight
608 gr
ISBN-13
978-3-540-10023-2 (9783540100232)
DOI
10.1007/3-540-10023-7
Schweitzer Classification
Content
Multiple scattering of waves by correlated distributions.- The S-matrix and sonar echo structure.- Some applications of functional analysis in classical scattering.- Numerical methods for Helmholtz-type equations in unbounded regions.- The role of surface waves in scattering processes of nuclear physics and acoustics.- Topics in radar scattering theory.- Coherent scattering from rough surfaces.- Application of a technique of Franklin and Friedman to some problems in acoustics.- High-frequency signal propagation and scattering in guiding channels.- Scattering by moving bodies: The Quasi-Stationary approximation.- Variational methods for wave scattering from random systems.- Resonance theory and application.- Application of elastodynamic ray theory to diffraction by cracks: Theory and experiment.- Scattering of acoustic waves by elastic and viscoelastic obstacle of arbitary shaped immersed in water.- Multipole reasonances in elastic wave-scattering from cavities and in acoustic wave-scaterring from bubbles and droplets.- Scattering theory in the mixed representation.- Green and lanford revisited.- A two-Hilbert-space formulation of multi-channel scattering theory.- Mathematical questions of quantum mechanics of many-body systems.- Scattering from point interactions.- Two problems with time-dependent Hamiltonians.- Translation invariance of N-particle Schrodinger operators in homogeneous magnetic fields.- Wave operators for multi-channel long-range scattering.- Asymptotic completeness in classical three-body scattering.- Canonical scattering theory for relativistic particles.- Consistent models of spin 0 and 1/2 extended particles scattering in external fields.- Curved-space scattering.- Levinson's theorems and the quantum-mechanical partition function for plasmas.- A cluster expansion and effective-potential representation of the three-body problem.- Quantum-statistical mechanics and scattering theory on homogeneous spaces of finite volume.- What do we know about the geometric nature of equations which can be solved using the inverse scattering technique?.- Solitons, solutions of nonlinear evolution equations, and the inverse scattering transform.- Determining the final profiles from the initial profiles for the full three-dimensional three-wave resonant interaction.- Ordinary differential equations of painleve-type and the inverse scattering transform.- 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.- The Jost-Kohn algorithm for inverse scattering.- Application of nonlinear techniques to the inverse problem.- N-dimensional fast fourier transform tomography for incomplete information and its application to inverse scattering theory.- Two acoustical inverse problems in speech and hearing.- Development of physical optics inverse scattering techniques using radon projection theory.- An iterative procedure for solving inverse scattering problems arising from active remote sensing.- One-dimensional velocity inversion for acoustic waves: Numerical results.- Inverse scattering theory: Exact and approximate solutions.- Functional equation of inverse scattering for the schrödinger equation with continuous and discrete spectra (short note).