THE Q-DEFORMED POISSON BRACKET, LEVI-CIVITA SYMBOL AND POINCARE ALGEBRA

Authors
CHUNG WS CHUNG KS NAM ST KANG HJ
Citation
Ws. Chung et al., THE Q-DEFORMED POISSON BRACKET, LEVI-CIVITA SYMBOL AND POINCARE ALGEBRA, Journal of physics. A, mathematical and general, 27(6), 1994, pp. 2061-2073
Citations number
32
Categorie Soggetti
Physics
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
27
Issue
6
Year of publication
1994
Pages
2061 - 2073
Database
ISI
SICI code
0305-4470(1994)27:6<2061:TQPBLS>2.0.ZU;2-N
Abstract
In this paper we use a special choice of the GL(X,qij) (2N) quantum pl ane and its differential calculus for a q-deformed phase space to defi ne a modified Poisson bracket and construct the contraction rule for t he q-deformed Levi-Civita symbol. We find the q-deformed phase-space v ariable realization of the so(q) (3) and q-deformed Poincare algebras.