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

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

1996-09-10

arxiv.org/abs/q-alg/9609009v1

J.KoreanPhys.Soc.30:157-164,1997

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, Revtex, no figures

Scientific paper

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.

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