Oscillator Quantum Algebra and Deformed su(2) Algebra
Harunobu Kubo
Abstract
A difference operator realization of quantum deformed oscillator algebra Hq(1) with a Casimir operator freedom is introduced. We show that this Hq(1) have 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 Hq(1).
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