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

R. Askey, S. K. Suslov

Research output: Contribution to journalArticle

20 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 languageEnglish (US)
Article number014
Pages (from-to)L693-L698
JournalJournal of Physics A: Mathematical and General
Volume26
Issue number15
DOIs
StatePublished - Dec 1 1993
Externally publishedYes

ASJC Scopus subject areas

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

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