English

On the $q$-deformed oscillator algebras:$su_q(1,1)$ and $su_q(2)$

q-alg 2008-11-26 v1 High Energy Physics - Theory Quantum Algebra

Abstract

We study the relations between qq-deformations and qq-coherent states of the single oscillator representations for suq(1,1)su_q(1,1) and suq(2)su_q(2) algebras; Dyson and Holstein-Primakoff type in terms of Biedenharn, Macfarlane and anyonic oscilators. We also discuss the related Fock-Bargmann qq-derivative and integration.

Keywords

Cite

@article{arxiv.q-alg/9609009,
  title  = {On the $q$-deformed oscillator algebras:$su_q(1,1)$ and $su_q(2)$},
  author = {Phillial Oh and Chaiho Rim},
  journal= {arXiv preprint arXiv:q-alg/9609009},
  year   = {2008}
}

Comments

19 pages, Revtex, no figures