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

R. Askey, S. K. Suslov

Research output: Contribution to journalArticlepeer-review

43 Scopus citations


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 languageEnglish (US)
Pages (from-to)123-132
Number of pages10
JournalLetters in Mathematical Physics
Issue number2
StatePublished - Oct 1993
Externally publishedYes


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

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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