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) |
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Pages (from-to) | 123-132 |
Number of pages | 10 |
Journal | Letters in Mathematical Physics |
Volume | 29 |
Issue number | 2 |
DOIs | |
State | Published - Oct 1993 |
Externally published | Yes |
Keywords
- Mathematics Subject Classifications (1991): 33C45, 81T05
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics