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

Preprint

9 July 1993

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.math/9307206

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.

Keywords

FOURIER TRANSFORMATION
BIORTHOGONAL RATIONAL
FUNCTIONS IS OBSERVED
CHARLIER POLYNOMIALS
HARMONIC OSCILLATOR
SIMPLE EXPLICIT
OSCILLATOR
MODEL

All Related Versions

Version 1, 1993-07-09, ArXiv
Published version: Journal of Physics A: General Physics, 26 (15), L693.

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