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

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.

References in corpus (1)

• The q-harmonic oscillator and the Al-Salam and Carlitz polynomials

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