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 | |
| State | Published - Dec 1 1993 |
| Externally published | Yes |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- Physics and Astronomy(all)
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Cite this
Askey, R., & Suslov, S. K. (1993). The q-harmonic oscillator and an analogue of the Charlier polynomials. Journal of Physics A: Mathematical and General, 26(15), L693-L698. [014]. https://doi.org/10.1088/0305-4470/26/15/014