Published April 30, 2004
| Version v1
Journal article
Characterization of two-dimensional Euclidean Landau states by coherent state transforms
Creators
- 1. Department of Mathematics, Faculty of Sciences and Technics (M'Ghila), Cadi Ayyad University, BP523, Beni Mellal (Morocco)
Description
We construct a family of generalized coherent states attached to Landau levels of a charged particle moving in the two-dimensional Euclidean plane under a perpendicular uniform magnetic field. We prove that the ranges of the corresponding coherent state transforms coincide with spaces of bound states of the particle. This provides us with a new characterization of two-dimensional Euclidean Landau states
Availability note (English)
Available online at http://stacks.iop.org/0305-4470/37/4813/a4_17_011.pdf or at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 1361-6447) http://www.iop.org/Additional details
Identifiers
- URL
- http://stacks.iop.org/0305-4470/37/4813/a4_17_011.pdf; http://www.iop.org/;
- DOI
- 10.1088/0305-4470/37/17/011;
- PII
- S0305-4470(04)69570-9;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and General
- Journal Volume
- 37
- Journal Issue
- 17
- Journal Page Range
- p. 4813-4819
- ISSN
- 0305-4470
- CODEN
- JPHAC5
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 35069142
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ANNIHILATION OPERATORS; BOUND STATE; CHARGED PARTICLES; EIGENSTATES; EUCLIDEAN SPACE; MAGNETIC FIELDS; TWO-DIMENSIONAL CALCULATIONS
- Descriptors DEC
- MATHEMATICAL OPERATORS; MATHEMATICAL SPACE; QUANTUM OPERATORS; RIEMANN SPACE; SPACE