Published February 2010
| Version v1
Journal article
Paraboson coherent states
- 1. University of Madras, Department of Theoretical Physics (India)
- 2. Ghent University, Department of Applied Mathematics and Computer Science (Belgium)
Description
It is known that the defining relations of the orthosymplectic Lie superalgebra osp(1 | 2n) are equivalent to the defining (triple) relations of n pairs of paraboson operators bi±. In particular, the 'parabosons of order p' correspond to a unitary irreducible (infinite-dimensional) lowest weight representation V(p) of osp(1 | 2n). Recently we constructed these representations V(p) giving the explicit actions of the osp(1 | 2n) generators. We apply these results for the n = 2 case in order to obtain 'coherent state' representations of the paraboson operators.
Additional details
Identifiers
Publishing Information
- Journal Title
- Physics of Atomic Nuclei
- Journal Volume
- 73
- Journal Issue
- 2
- Journal Page Range
- p. 269-275
- ISSN
- 1063-7788
- CODEN
- PANUEO
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 42031914
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- ANNIHILATION OPERATORS; BOSONS; EIGENSTATES; GRADED LIE GROUPS
- Descriptors DEC
- LIE GROUPS; MATHEMATICAL OPERATORS; QUANTUM OPERATORS; SYMMETRY GROUPS
Optional Information
- Copyright
- Copyright (c) 2010 Pleiades Publishing, Ltd.