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

Phillial Oh, Chaiho Rim

q-algarXiv:q-alg/9707033

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.

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