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Proceedings Paper

Difference oscillator in terms of the Meixner polynomials
Author(s): Natig M. Atakishiyev; Elchin I. Jafarov; Shakir M. Nagiyev; Kurt Bernardo Wolf
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Paper Abstract

We discuss a difference model of the linear harmonic oscillator based on the Meixner polynomials. As limit and special cases, it contains difference oscillator models in terms of the Kravchuk and Charlier polynomials, as well as the wavefunctions of the linear harmonic oscillator in quantum mechanics. We show that the dynamical group is SU(1,1) and construct explicitly the corresponding coherent state. The reproducing kernel for the wavefunctions of the Meixner model is also found.

Paper Details

Date Published: 6 July 1998
PDF: 8 pages
Proc. SPIE 3385, Photonic Quantum Computing II, (6 July 1998); doi: 10.1117/12.312639
Show Author Affiliations
Natig M. Atakishiyev, Univ. Nacional Autonoma de Mexico (Mexico)
Elchin I. Jafarov, Institute of Physics (Azerbaijan)
Shakir M. Nagiyev, Institute of Physics (Azerbaijan)
Kurt Bernardo Wolf, Univ. Nacional Autonoma de Mexico (Mexico)

Published in SPIE Proceedings Vol. 3385:
Photonic Quantum Computing II
Steven P. Hotaling; Andrew R. Pirich, Editor(s)

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