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The q-Deformed Oscillator Representations and Their Coherent States of the su(1,1) Algebra

arXiv:q-alg/9707033 · doi:10.1016/S0034-4877(97)85926-5

Abstract

We present various oscillator representations of the q-deformed su(1,1) algebra such as the Holstein-Primakoff, the Dyson, the Fock-Bargmann, the anyonic, and the parabose oscillator representations and discuss their coherent states with the resolution of unity.

8 pages, Latex, To appear in Reports on Mathematical Physics