Published November 2002
| Version v1
Journal article
SU(N) coherent states
Creators
- 1. S.N. Bose National Centre for Basic Sciences, JD Block, Sector III, Salt Lake City, Calcutta 700098 (India)
Description
We generalize Schwinger boson representation of SU(2) algebra to SU(N) and define coherent states of SU(N) using 2(2N-1-1) bosonic harmonic oscillator creation and annihilation operators. We give an explicit construction of all (N-1) Casimirs of SU(N) in terms of these creation and annihilation operators. The SU(N) coherent states belonging to any irreducible representations of SU(N) are labeled by the eigenvalues of the Casimir operators and are characterized by (N-1) complex orthonormal vectors describing the SU(N) manifold. The coherent states provide a resolution of identity, satisfy the continuity property, and possess a variety of group theoretic properties
Additional details
Identifiers
- DOI
- 10.1063/1.1513651;
- arXiv
- arXiv:quant-ph/0206005v1;
Publishing Information
- Journal Title
- Journal of Mathematical Physics
- Journal Volume
- 43
- Journal Issue
- 11
- Journal Page Range
- p. 5351-5364
- ISSN
- 0022-2488
- CODEN
- JMAPAQ
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 35004430
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- ANNIHILATION OPERATORS; BOSONS; CASIMIR OPERATORS; EIGENSTATES; EIGENVALUES; GROUP THEORY; HARMONIC OSCILLATORS; QUANTUM ELECTRODYNAMICS; SCHWINGER FUNCTIONAL EQUATIONS; SU GROUPS; SU-2 GROUPS; SYMMETRY
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; ELECTRODYNAMICS; EQUATIONS; FIELD THEORIES; LIE GROUPS; MATHEMATICAL OPERATORS; MATHEMATICS; QUANTUM FIELD THEORY; QUANTUM OPERATORS; SU GROUPS; SYMMETRY GROUPS
Optional Information
- Notes
- (c) 2002 American Institute of Physics.