Oscillator Quantum Algebra and Deformed su(2) Algebra

Details Oscillator Quantum Algebra and Deformed su(2) Algebra Oscillator Quantum Algebra and Deformed su(2) Algebra

1997-04-14

arxiv.org/abs/hep-th/9704100v1

Mod.Phys.Lett. A12 (1997) 1335-1341

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, Latex

Scientific paper

A difference operator realization of quantum deformed oscillator algebra $H_q(1)$ with a Casimir operator freedom is introduced. We show that this $H_q(1)$ 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 $H_q(1)$.

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