THE REALIZATIONS OF QUANTUM GROUPS OF AN-1 AND CN TYPES IN Q-DEFORMED OSCILLATOR-SYSTEMS AT CLASSICAL AND QUANTUM LEVELS

被引：10
作者：
CHANG, Z [1 ]
WANG, JX [1 ]
YAN, H [1 ]
机构：
[1] ACAD SINICA,INST THEORET PHYS,BEIJING 100080,PEOPLES R CHINA
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 1991年 / 32卷 / 12期
关键词：
D O I：
10.1063/1.529484
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In the classical q-deformed oscillators system, the Poisson bracket realizations of the quantum enveloping algebras of A(n-1) and C(n) types are given in the symplectic space (V,OMEGA) (without deformation). When the oscillators system is canonically quantized, the Lie bracket realizations of the quantum enveloping algebras of A(n-1) and C(n) types are obtained. The Hopf structures of these quantum enveloping algebras are supplied.
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页码：3241 / 3245
页数：5
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