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The q-harmonic oscillator and an analog of the Charlier polynomials

Richard A. Askey·Serge\uı K. Suslov
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Abstract

A model of a q-harmonic oscillator based on q-Charlier polynomials of Al-Salam and Carlitz is discussed. Simple explicit realization of q-creation and q-annihilation operators, q-coherent states and an analog of the Fourier transformation are found. A connection of the kernel of this transform with biorthogonal rational functions is observed.

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Richard A. Askey, Serge\uı K. Suslov. 1993-07-09. The q-harmonic oscillator and an analog of the Charlier polynomials. https://doi.org/10.1088/0305-4470%2F26%2F15%2F014

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