English

Oscillator Quantum Algebra and Deformed su(2) Algebra

High Energy Physics - Theory 2015-06-26 v1

Abstract

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

Keywords

Cite

@article{arxiv.hep-th/9704100,
  title  = {Oscillator Quantum Algebra and Deformed su(2) Algebra},
  author = {Harunobu Kubo},
  journal= {arXiv preprint arXiv:hep-th/9704100},
  year   = {2015}
}

Comments

9 pages, Latex

R2 v1 2026-07-22T16:04:36.010Z