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

R. Askey; S. K. Suslov

doi:10.1088/0305-4470/26/15/014

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

R. Askey, S. K. Suslov

Research output: Contribution to journal › Article › peer-review

23 Scopus citations

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.

Original language	English (US)
Article number	014
Pages (from-to)	L693-L698
Journal	Journal of Physics A: Mathematical and General
Volume	26
Issue number	15
DOIs	https://doi.org/10.1088/0305-4470/26/15/014
State	Published - 1993
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
Physics and Astronomy(all)

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10.1088/0305-4470/26/15/014

Cite this

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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.",

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AB - 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.

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

Abstract

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