Published 2017 | Version v1
Journal article Metadata-only

Lie superalgebraic approach to quantum statistics. osp(3|2) Wigner quantum oscillator

Creators

  • 1. Institute for Nuclear Research and Nuclear Energy Bulgarian Academy of Sciences, Sofia (Bulgaria)
  • 2. Department of Applied Mathematics, Computer Science and Statistics, Ghent University, Gent (Belgium)

Description

The ordinary Bose and Fermi statistics and their generalizations para-Bose and para-Fermi statistics are considered from an algebraic point of view. It is indicated that they correspond to representations of Lie superalgebras B(0|n) and Bn. Generalized statistics and nonstandard quantum systems associated to the other basic classical Lie superalgebras are discussed. The Wigner quantum oscillator corresponding to the Lie superalgebra osp(3|2) is considered.

Additional details

Identifiers

URL
http://www.bjp-bg.com/papers/bjp2017_1_001-008.pdf;

Publishing Information

Journal Title
Bulgarian Journal of Physics (Print)
Journal Volume
44
Journal Issue
1
Journal Page Range
p. 001-008
ISSN
1310-0157

INIS

Country of Publication
Bulgaria
Country of Input or Organization
Bulgaria
INIS RN
49039468
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
FERMI STATISTICS; GRADED LIE GROUPS; OSCILLATORS; QUANTUM SYSTEMS
Descriptors DEC
ELECTRONIC EQUIPMENT; EQUIPMENT; LIE GROUPS; SYMMETRY GROUPS

Optional Information

Notes
Available from http://www.bjp-bg.com/papers/bjp2017_1_001-008.pdf