Difference oscillator in terms of the Meixner polynomials

Natig M. Atakishiyev; Elchin I. Jafarov; Shakir M. Nagiyev; Kurt Bernardo Wolf

doi:10.1117/12.312639

6 July 1998 Difference oscillator in terms of the Meixner polynomials

Natig M. Atakishiyev, Elchin I. Jafarov, Shakir M. Nagiyev, Kurt Bernardo Wolf

Proceedings Volume 3385, Photonic Quantum Computing II; (1998) https://doi.org/10.1117/12.312639
Event: Aerospace/Defense Sensing and Controls, 1998, Orlando, FL, United States

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.

Citation Download Citation

Natig M. Atakishiyev, Elchin I. Jafarov, Shakir M. Nagiyev, and Kurt Bernardo Wolf "Difference oscillator in terms of the Meixner polynomials", Proc. SPIE 3385, Photonic Quantum Computing II, (6 July 1998); https://doi.org/10.1117/12.312639

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