Oscillator Quantum Algebra and Deformed su(2) Algebra

Abstract

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 $H_q(1)$.

9 pages, Latex

Cited by in corpus (1)

• An extended q-deformed su(2) algebra and the Bloch electron problem