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On the q-deformed oscillator algebras:su_q(1,1) and su_q(2)
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On the q-deformed oscillator algebras:su_q(1,1) and su_q(2)
classification
q-alg
hep-thmath.QA
keywords
algebrasoscillatoranyonicbiedenharncoherentdeformationsdeformedderivative
read the original 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.
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