Published 1987
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On the orthogonal dissipative Lax-Phillips scattering theory
Description
The paper is devoted to the so-called orthogonal dissipative Lax-Phillips scattering theory. It is obtained a parametrization of all possible orthogonal dissipative Lax-Phillips scattering theories in terms of ordered 6-tuples consisting of unilateral shifts and contractions which can be roughly speaking freely chosen. In this parametrization the wave and scattering operators as well as the scattering matrix are explicitly calculated. Moreover, a description of all analytical contraction-valued functions admitting a Darlington synthesis is found
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Additional details
Publishing Information
- Imprint Pagination
- 27 p.
- Report number
- JINR-E--5-87-416
INIS
- Country of Publication
- USSR
- Country of Input or Organization
- USSR
- INIS RN
- 19037192
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- FOURIER TRANSFORMATION; HILBERT SPACE; QUANTUM OPERATORS; S MATRIX; SCATTERING; WAVE FUNCTIONS
- Descriptors DEC
- BANACH SPACE; FUNCTIONS; INTEGRAL TRANSFORMATIONS; MATHEMATICAL OPERATORS; MATHEMATICAL SPACE; MATRICES; SPACE; TRANSFORMATIONS
Optional Information
- Notes
- 9 refs.; submitted to the journal Rep. Math. Phys.