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Approach of the continuous q-Hermite polynomials to x-representation of q-oscillator algebra and its coherent states

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We use the recursion relations of the continuous q-Hermite polynomials and obtain the q-difference realizations of the ladder operators of a q-oscillator algebra in terms of the Askey–Wilson operat... Click to show full abstract

We use the recursion relations of the continuous q-Hermite polynomials and obtain the q-difference realizations of the ladder operators of a q-oscillator algebra in terms of the Askey–Wilson operat...

Keywords: oscillator algebra; approach continuous; hermite polynomials; continuous hermite; polynomials representation; representation oscillator

Journal Title: International Journal of Geometric Methods in Modern Physics
Year Published: 2019

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