arXiv math/93072061993-07-09math.CAmath.QA

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

Richard A. Askey, Serge\uı K. Suslov

DOI：: 10.1088/0305-4470/26/15/014

英文摘要：

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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