The q-harmonic oscillator and the Al-Salam and Carlitz polynomials

R. Askey; S. K. Suslov

doi:10.1007/BF00749728

The q-harmonic oscillator and the Al-Salam and Carlitz polynomials

R. Askey, S. K. Suslov

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

44 Scopus citations

Abstract

One more model of a q-harmonic oscillator based on the q-orthogonal polynomials of Al-Salam and Carlitz is discussed. The explicit form of q-creation and q-annihilation operators, q-coherent states and an analog of the Fourier transformation are established. A connection of the kernel of this transform with a family of self-dual biorthogonal rational functions is observed.

Original language	English (US)
Pages (from-to)	123-132
Number of pages	10
Journal	Letters in Mathematical Physics
Volume	29
Issue number	2
DOIs	https://doi.org/10.1007/BF00749728
State	Published - Oct 1993
Externally published	Yes

Keywords

Mathematics Subject Classifications (1991): 33C45, 81T05

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/BF00749728

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abstract = "One more model of a q-harmonic oscillator based on the q-orthogonal polynomials of Al-Salam and Carlitz is discussed. The explicit form of q-creation and q-annihilation operators, q-coherent states and an analog of the Fourier transformation are established. A connection of the kernel of this transform with a family of self-dual biorthogonal rational functions is observed.",

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AB - One more model of a q-harmonic oscillator based on the q-orthogonal polynomials of Al-Salam and Carlitz is discussed. The explicit form of q-creation and q-annihilation operators, q-coherent states and an analog of the Fourier transformation are established. A connection of the kernel of this transform with a family of self-dual biorthogonal rational functions is observed.

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The q-harmonic oscillator and the Al-Salam and Carlitz polynomials

Abstract

Keywords

ASJC Scopus subject areas

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