Published November 14, 2007
| Version v1
Journal article
Coherent States on Open Finite Chains
Creators
- 1. Department of Physics, Czech Technical University, Brehova 7, CZ--115 19 Prague (Czech Republic)
Description
The construction of coherent states for an open finite chains comes from q-deformed harmonic oscillator when q is the (M+1)th root of the unity. We modify this approach and construct such coherent states, using para-Grassmann variables over M dimensional complex space CM. We show that the integration of the reproducing kernel can be realized as an integration over a Cartesian product of M complex discs of an arbitrary finite radius. Moreover, using the coherent states, Berezin symbols and the star product are expressed
Additional details
Identifiers
- DOI
- 10.1063/1.2820973;
Publishing Information
- Journal Title
- AIP Conference Proceedings
- Journal Volume
- 956
- Journal Issue
- 1
- Journal Page Range
- p. 240-244
- ISSN
- 0094-243X
- CODEN
- APCPCS
Conference
- Title
- 26. International workshop on geometrical methods in physics
- Dates
- 1-7 Jul 2007
- Place
- Bialowieza (Poland)
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 39059285
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Resource subtype / Literary indicator
- Conference
- Descriptors DEI
- ALGEBRA; ANNIHILATION OPERATORS; EIGENSTATES; HARMONIC OSCILLATORS; HILBERT SPACE; KERNELS; MATRICES; POLYNOMIALS; QUANTUM FIELD THEORY
- Descriptors DEC
- BANACH SPACE; FIELD THEORIES; FUNCTIONS; MATHEMATICAL OPERATORS; MATHEMATICAL SPACE; MATHEMATICS; QUANTUM OPERATORS; SPACE
Optional Information
- Notes
- (c) 2007 American Institute of Physics