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.