SUQ,H-]0(2) AND SUQ,H(2), THE CLASSICAL AND QUANTUM Q-DEFORMATIONS OF THE SU(2) ALGEBRA .4. GEOMETRIC-QUANTIZATION AND HOPF ALGEBRAIC STRUCTURES

被引:13
作者
CHANG, Z [1 ]
FEI, SM [1 ]
GUO, HY [1 ]
YAN, H [1 ]
机构
[1] CHINESE CTR ADV SCI & TECHNOL,WORLD LAB,BEIJING 100080,PEOPLES R CHINA
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1991年 / 24卷 / 23期
关键词
D O I
10.1088/0305-4470/24/23/010
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In the q-deformed oscillator system, the Hopf algebraic structures of SU(q,HBAR-->0)(2) and SU(q,HBAR)(2) are constructed in the scheme of geometric quantization. The classical and quantum representation spaces are analysed with respect to whether or not q is a root of unity.
引用
收藏
页码:5435 / 5444
页数:10
相关论文
共 25 条
[1]  
Baxter R.J., 2007, EXACTLY SOLVED MODEL
[2]   QUANTUM LIE-SUPERALGEBRAS AND Q-OSCILLATORS [J].
CHAICHIAN, M ;
KULISH, P .
PHYSICS LETTERS B, 1990, 234 (1-2) :72-80
[3]   Q-DEFORMED JACOBI IDENTITY, Q-OSCILLATORS AND Q-DEFORMED INFINITE-DIMENSIONAL ALGEBRAS [J].
CHAICHIAN, M ;
KULISH, P ;
LUKIERSKI, J .
PHYSICS LETTERS B, 1990, 237 (3-4) :401-406
[4]   ON THE POLAR DECOMPOSITION OF THE QUANTUM SU(2) ALGEBRA [J].
CHAICHIAN, M ;
ELLINAS, D .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (07) :L291-L296
[5]   SUQ,H-]0(2) AND SUQ,H(2), THE CLASSICAL AND QUANTUM Q-DEFORMATIONS OF THE SU(2) ALGEBRA [J].
CHANG, Z ;
CHEN, W ;
GUO, HY .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (19) :4185-4190
[6]   SUQ,H-]0(2) AND SUQ,H(2), THE CLASSICAL AND QUANTUM Q-DEFORMATIONS OF THE SU(2) ALGEBRA .3. WHEN Q IS A ROOT OF UNITY [J].
CHANG, Z ;
CHEN, W ;
GUO, HY ;
YAN, H .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1991, 24 (07) :1427-1434
[7]   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 [J].
CHANG, Z ;
CHEN, W ;
GUO, HY ;
YAN, H .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (23) :5371-5382
[8]   THE Q-DEFORMED OSCILLATOR MODEL AND THE VIBRATIONAL-SPECTRA OF DIATOMIC-MOLECULES [J].
CHANG, Z ;
GUO, HY ;
YAN, H .
PHYSICS LETTERS A, 1991, 156 (3-4) :192-196
[9]   HQ(4) AND SUQ(2) QUANTUM GROUP SYMMETRIES IN DIATOMIC-MOLECULES [J].
CHANG, Z ;
YAN, H .
PHYSICAL REVIEW A, 1991, 43 (11) :6043-6052
[10]  
CHANG Z, 1991, PHYS LETT A, V0154, P00254