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

24 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)

Access to Document

10.1088/0305-4470/26/15/014

Cite this

@article{6804a6c75ff643e1a4ac17e3ca57f676,

title = "The q-harmonic oscillator and an analogue of the Charlier polynomials",

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.",

author = "R. Askey and Suslov, {S. K.}",

year = "1993",

doi = "10.1088/0305-4470/26/15/014",

language = "English (US)",

volume = "26",

pages = "L693--L698",

journal = "Journal of Physics A: Mathematical and Theoretical",

issn = "1751-8113",

publisher = "IOP Publishing Ltd.",

number = "15",

}

TY - JOUR

T1 - The q-harmonic oscillator and an analogue of the Charlier polynomials

AU - Askey, R.

AU - Suslov, S. K.

PY - 1993

Y1 - 1993

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=21144471635&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=21144471635&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/26/15/014

DO - 10.1088/0305-4470/26/15/014

M3 - Article

AN - SCOPUS:21144471635

VL - 26

SP - L693-L698

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 15

M1 - 014

ER -

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

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this