WIGNER QUANTUM OSCILLATORS

Authors
PALEV TD STOILOVA NI
Citation
Td. Palev et Ni. Stoilova, WIGNER QUANTUM OSCILLATORS, Journal of physics. A, mathematical and general, 27(3), 1994, pp. 977-983
Citations number
30
Categorie Soggetti
Physics
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
27
Issue
3
Year of publication
1994
Pages
977 - 983
Database
ISI
SICI code
0305-4470(1994)27:3<977:WQO>2.0.ZU;2-2
Abstract
We present three groups of non-canonical quantum oscillators. The posi tion and momentum operators of each group generate basic Lie superalge bras, namely sl(1/3), osp(1/6) and osp(3/2). The sl(1/3) oscillators h ave finite energy spectrum and finite dimensions. The osp(1/6) oscilla tors are related to the para-Bose statistictics. The internal angular momentum s of the osp(3/2) oscillators takes no more than three (half) integer values. In a particular representation s = 1/2.