Published October 2002
| Version v1
Journal article
Geometric quantization of time-dependent completely integrable Hamiltonian systems
- 1. Department of Theoretical Physics, Moscow State University, 117234 Moscow (Russian Federation)
- 2. Dipartimento di Matematica e Fisica, Universita di Camerino, 62032 Camerino, MC (Italy)
- 3. Dipartimento di Matematica 'F. Enriques', Universita di Milano, 20133, Milan (Italy)
Description
A time-dependent completely integrable Hamiltonian system is quantized with respect to time-dependent action-angle variables near an instantly compact regular invariant manifold. Its Hamiltonian depends only on action variables, and has a time-independent countable energy spectrum
Additional details
Identifiers
- DOI
- 10.1063/1.1502927;
- arXiv
- arXiv:quant-ph/0202093v2;
Publishing Information
- Journal Title
- Journal of Mathematical Physics
- Journal Volume
- 43
- Journal Issue
- 10
- Journal Page Range
- p. 5013-5025
- ISSN
- 0022-2488
- CODEN
- JMAPAQ
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 35004418
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- DIFFERENTIAL EQUATIONS; ENERGY SPECTRA; HAMILTONIANS; MATHEMATICAL MANIFOLDS; QUANTIZATION; SEMICLASSICAL APPROXIMATION; TIME DEPENDENCE
- Descriptors DEC
- EQUATIONS; MATHEMATICAL OPERATORS; QUANTUM OPERATORS; SPECTRA
Optional Information
- Notes
- (c) 2002 American Institute of Physics.