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arxiv: q-alg/9707033 · v1 · submitted 1997-07-25 · q-alg · hep-th· math.QA

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

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keywords oscillatorrepresentationsalgebracoherentq-deformedstatesanyonicdiscuss
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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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