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

Phillial Oh; Chaiho Rim

paper

On the $q$ -deformed oscillator algebras: $s u_{q} (1, 1)$ and $s u_{q} (2)$

arXiv:q-alg/9609009

Abstract

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

arXiv comment19 pages, Revtex, no figures

On the q-deformed oscillator algebras:suq​(1,1) and suq​(2)

Abstract

On the $q$ -deformed oscillator algebras: $s u_{q} (1, 1)$ and $s u_{q} (2)$