Published February 1, 2002
| Version v1
Journal article
Bose realization for non-canonical representations of the symplectic group Sp(4) contains SU(2)xU(1)
Creators
- 1. Departamento de Formacion General y Ciencias Basicas, Universidad Simon Bolivar, Caracas (Venezuela)
Description
A new method is formulated for the construction of arbitrary unitary irreducible representations of the compact symplectic group Sp(4)∼O(5) in orthonormal bases which are reduced with respect to the non-canonical group chain Sp(4) contains SU(2)xU(1). The method is based on a realization of the algebra of generators and basis states by means of a system of Bose creation and annihilation operators. As an illustration, some series of representations with multiplicities equal to, or less than, three are given in explicit algebraic form. (author)
Availability note (English)
Available online at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 4361-6447) http://www.iop.org/Additional details
Identifiers
- URL
- http://www.iop.org/;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and General
- Journal Volume
- 35
- Journal Issue
- 4
- Journal Page Range
- p. 1079-1094
- ISSN
- 0305-4470
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 33024162
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ALGEBRA; ANNIHILATION OPERATORS; ANOMALOUS DIMENSION; GROUP THEORY; IRREDUCIBLE REPRESENTATIONS; SP GROUPS; SU-2 GROUPS; SYMMETRY; U-1 GROUPS
- Descriptors DEC
- LIE GROUPS; MATHEMATICAL OPERATORS; MATHEMATICS; QUANTUM OPERATORS; SCALE DIMENSION; SU GROUPS; SYMMETRY GROUPS; U GROUPS