SUQ,H-]0(2) AND SUQ,H(2), THE CLASSICAL AND QUANTUM Q-DEFORMATIONS OF THE SU(2) ALGEBRA .2. THE HOPF ALGEBRA, THE YANG-BAXTER EQUATION AND MULTI-DEFORMED ALGEBRAIC STRUCTURES

被引：40

作者：

CHANG, Z ^{[1
]}

CHEN, W ^{[1
]}

GUO, HY ^{[1
]}

YAN, H ^{[1
]}

机构：

[1] CCAST,WORLD LAB,BEIJING 100080,PEOPLES R CHINA

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1990年 / 23卷 / 23期

关键词：

D O I：

10.1088/0305-4470/23/23/016

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The SUq(2) algebra is realized by means of both the Poisson brackets in classical mechanics and commutators in quantum mechanics in a system with q-deformed oscillators of two different types. The structures of the Hopf algebra and the quantum Yang-Baxter equation are also discussed on a quantum level. A set of j-representations of the quantum algebra SUq(2) is constructed based on the 'type-II' q-oscillators. Multi-deformations of the oscillators of the two types and multi-deformed algebras expressed in Poisson brackets as well as in Lie brackets are proposed.

引用

页码：5371 / 5382

页数：12

共 14 条

[11] 2-PARAMETRIC SOLUTION TO GRADED YANG-BAXTER EQUATION AND 2-PARAMETRIC UU-UPSILON-GL(1/1) ALGEBRA AS A HOPF ALGEBRA
YAN, H
ZHOU, Y
ZHU, TH
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1993, 26 (04): : 935 - 941
[12] NONSTANDARD R-MATRICES FOR THE YANG-BAXTER EQUATION AND BOSON REPRESENTATIONS OF THE QUANTUM ALGEBRA SLQ(2) WITH QP = +/-1
GE, ML
LIU, XF
SUN, CP
PHYSICS LETTERS A, 1991, 155 (2-3) : 137 - 139
[13] CONSTRUCTION OF GENERAL COLORED R-MATRICES FOR THE YANG-BAXTER EQUATION AND Q-BOSON REALIZATION OF QUANTUM ALGEBRA SLQ(2) WHEN Q IS A ROOT OF UNITY
GE, ML
SUN, CP
XUE, K
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1992, 7 (26): : 6609 - 6622
[14] Clebsch-Gordan coefficients for two-parameter deformed quantum algebra SU(1,1)(q,s) .2.
Yu, G
Zhang, DX
Yu, ZX
COMMUNICATIONS IN THEORETICAL PHYSICS, 1997, 28 (01) : 57 - 62

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