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

被引：3
|
作者：
CHUNG, WS
CHUNG, KS
NAM, ST
KANG, HJ
机构：
[1] Dept. of Phys., Gyeongsang Nat. Univ., Jinju
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1994年 / 27卷 / 06期
关键词：
D O I：
10.1088/0305-4470/27/6/029
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper we use a special choice of the GL(X,qij) (2N) quantum plane and its differential calculus for a q-deformed phase space to define a modified Poisson bracket and construct the contraction rule for the q-deformed Levi-Civita symbol. We find the q-deformed phase-space variable realization of the so(q) (3) and q-deformed Poincare algebras.
引用
收藏
页码：2061 / 2073
页数：13
相关论文
共 50 条
  • [21] Q-DEFORMED SUPERCONFORMAL ALGEBRA ON QUANTUM SUPERSPACE
    KOBAYASHI, T
    UEMATSU, T
    PHYSICS LETTERS B, 1993, 306 (1-2) : 27 - 33
  • [22] Operator realizations of the q-deformed Heisenberg algebra
    Department of Chemistry, Zhengzhou University, Zhengzhou 450052, China
    不详
    Phys Lett Sect A Gen At Solid State Phys, 1600, 4-5 (251-256):
  • [23] Fuzzy torus and q-deformed Lie algebra
    Nakayama, Ryuichi
    PHYSICS LETTERS B, 2006, 638 (2-3) : 283 - 287
  • [24] A calculus based on a q-deformed Heisenberg algebra
    Cerchiai, BL
    Hinterding, R
    Madore, J
    Wess, J
    EUROPEAN PHYSICAL JOURNAL C, 1999, 8 (03): : 547 - 558
  • [25] Operator representations of a q-deformed Heisenberg algebra
    Schmüdgen, K
    JOURNAL OF MATHEMATICAL PHYSICS, 1999, 40 (09) : 4596 - 4605
  • [26] Two types of q-deformed Wigner algebra
    Chung, Won Sang
    FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS, 2014, 62 (07): : 607 - 616
  • [27] Operator realizations of the q-deformed Heisenberg algebra
    Pan, HY
    Zhao, ZS
    PHYSICS LETTERS A, 2001, 282 (4-5) : 251 - 256
  • [28] Q-DEFORMED OSCILLATOR ALGEBRA AS A QUANTUM GROUP
    YAN, H
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (22): : L1155 - L1160
  • [29] Fourier transformations for the q-deformed Heisenberg algebra
    Schwenk, J
    QUANTUM GROUPS AND THEIR APPLICATIONS IN PHYSICS, 1996, 127 : 525 - 540
  • [30] INDECOMPOSABLE REPRESENTATIONS OF THE Q-DEFORMED VIRASORO ALGEBRA
    LIU, KQ
    MATHEMATISCHE ZEITSCHRIFT, 1994, 217 (01) : 15 - 35
12345