Formal solutions of inverse scattering problems. III

Formal solutions of inverse scattering problems. III

The formal solutions of certain three‐dimensional inverse scattering problems presented in papers I and II of this series [J. Math. Phys. 10, 1819 (1969); 17 1175 (1976)] are obtained here as fixed points of a certain nonlinear mapping acting on a suitable Banach space of integral kernels. When the...

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Veröffentlicht in:J. Math. Phys. (N.Y.); (United States) 1980-11, Vol.21 (11), p.2648-2653
1. Verfasser: Prosser, Reese T.
Format: Artikel
Sprache:eng
Schlagworte:
645500 - High Energy Physics- Scattering Theory- (-1987)
657002 - Theoretical & Mathematical Physics- Classical & Quantum Mechanics
BANACH SPACE
BOUNDARY CONDITIONS
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
ELASTIC SCATTERING
ENERGY DEPENDENCE
INVERSE SCATTERING PROBLEM
KERNELS
MAPPING
MATHEMATICAL SPACE
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
POTENTIAL SCATTERING
SCATTERING
SPACE
THREE-DIMENSIONAL CALCULATIONS
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Zusammenfassung:The formal solutions of certain three‐dimensional inverse scattering problems presented in papers I and II of this series [J. Math. Phys. 10, 1819 (1969); 17 1175 (1976)] are obtained here as fixed points of a certain nonlinear mapping acting on a suitable Banach space of integral kernels. When the scattering data are sufficiently restricted, this mapping is shown to be a contraction, thereby establishing the existence, uniqueness, and continuous dependence on the data of these formal solutions.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.524379