Oscillator quantum algebra and deformed su(2) algebra

被引:3
|
作者
Kubo, H
机构
[1] Department of Physics, University of Tokyo, Bunkyo-ku
关键词
D O I
10.1142/S0217732397001345
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
A difference operator realization of quantum deformed oscillator algebra H-q(1) with a Casimir operator freedom is introduced. We show that this H-q(1) has a nonlinear mapping to the deformed quantum su(2) which was introduced by Fujikawa et al. We also examine the cyclic representation obtained by this difference operator realization and the possibility to analyze a Bloch electron problem by H-q(1).
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页码:1335 / 1341
页数:7
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