On the $q$-deformed oscillator algebras:$su_q(1,1)$ and $su_q(2)$
Abstract
We study the relations between $q$-deformations and $q$-coherent states of the single oscillator representations for $su_q(1,1)$ and $su_q(2)$ 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.
- Publication:
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eprint arXiv:q-alg/9609009
- Pub Date:
- September 1996
- DOI:
- 10.48550/arXiv.q-alg/9609009
- arXiv:
- arXiv:q-alg/9609009
- Bibcode:
- 1996q.alg.....9009O
- Keywords:
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- Mathematics - Quantum Algebra;
- High Energy Physics - Theory
- E-Print:
- 19 pages, Revtex, no figures