Published October 2007
| Version v1
Journal article
Quasi-Hermitian quantum mechanics in phase space
Creators
- 1. Department of Physics, University of Miami, Coral Gables, Florida 33124 (United States)
Description
We investigate quasi-Hermitian quantum mechanics in phase space using standard deformation quantization methods: Groenewold star products and Wigner transforms. We focus on imaginary Liouville theory as a representative example where exact results are easily obtained. We emphasize spatially periodic solutions, compute various distribution functions and phase-space metrics, and explore the relationships between them
Additional details
Identifiers
- DOI
- 10.1063/1.2365716;
- arXiv
- arXiv:quant-ph/0701006v2;
Publishing Information
- Journal Title
- Journal of Mathematical Physics
- Journal Volume
- 48
- Journal Issue
- 10
- Journal Page Range
- p. 102112-102112.48
- ISSN
- 0022-2488
- CODEN
- JMAPAQ
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 39035914
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- DISTRIBUTION FUNCTIONS; EIGENFUNCTIONS; MATHEMATICAL SOLUTIONS; METRICS; PERIODICITY; PHASE SPACE; POLYNOMIALS; QUANTIZATION; QUANTUM MECHANICS
- Descriptors DEC
- FUNCTIONS; MATHEMATICAL SPACE; MECHANICS; SPACE; VARIATIONS
Optional Information
- Notes
- (c) 2007 American Institute of Physics