Published December 1998
| Version v1
Journal article
Coherent states of potentials of soliton origin
Description
The spectral properties of the most general time-dependent potentials of the soliton type described by a self-adjoint operator acting in Hilbert space are discussed. The spectral decomposition for these potentials and the quasispectral decomposition for the Darboux transformation operators are obtained. The coherent states of such systems are examined. Finally, the measure realizing the decomposition of the identity operator in the projectors on the coherent states is calculated
Additional details
Identifiers
- DOI
- 10.1134/1.558619;
- PII
- S1063-7761(98)00212-1;
Publishing Information
- Journal Title
- Journal of Experimental and Theoretical Physics
- Journal Volume
- 87
- Journal Issue
- 6
- Journal Page Range
- p. 1046-1052
- ISSN
- 1063-7761
- CODEN
- JTPHES
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 35094188
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Resource subtype / Literary indicator
- Translation
- Descriptors DEI
- ANNIHILATION OPERATORS; DECOMPOSITION; EIGENSTATES; HARMONIC OSCILLATORS; HILBERT SPACE; POTENTIALS; SCHROEDINGER EQUATION; SOLITONS; TRANSFORMATIONS
- Descriptors DEC
- BANACH SPACE; CHEMICAL REACTIONS; DIFFERENTIAL EQUATIONS; EQUATIONS; MATHEMATICAL OPERATORS; MATHEMATICAL SPACE; PARTIAL DIFFERENTIAL EQUATIONS; QUANTUM OPERATORS; QUASI PARTICLES; SPACE; WAVE EQUATIONS
Optional Information
- Notes
- Translated from Zhurnal Ehksperimental'noj i Teoreticheskoj Fiziki, ISSN 0044-4510, 114, 1930-1943 (December 1998); (c) 1998 American Institute of Physics.