The q-harmonic oscillator and an analogue of the Charlier polynomials
- 7 August 1993
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 26 (15) , L693-L698
- https://doi.org/10.1088/0305-4470/26/15/014
Abstract
A model of a q-harmonic oscillator based on q-Charlier polynomials of Al-Salam and Carlitz (1965) is discussed. A simple explicit realization of q-creation and q-annihilation operators, q-coherent states and an analogue of the Fourier transformation are found. A connection of the kernel of this transform with biorthogonal rational functions is observed.Keywords
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