QUANTUM LIE-SUPERALGEBRAS AND Q-OSCILLATORS

被引:354
作者
CHAICHIAN, M [1 ]
KULISH, P [1 ]
机构
[1] YA STEKLOV MATH INST,LENINGRAD 191011,USSR
关键词
D O I
10.1016/0370-2693(90)92004-3
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
Quantum deformation of the simple Lie superalgebras is formulated applying both the method of the Cartan matrix and R-matrix approach. Using the quantum analogue of Bose and Fermi oscillators, the realization of quantum slq(n|m) generators is given. The q-oscillators are obtained from the quantum algebra itself by the contraction method. Multimode representations in terms of q-oscillators require nontrivial couplings between the different modes. Possible applications are outlined. © 1990.
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页码:72 / 80
页数:9
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