Difference oscillator in terms of the Meixner polynomials
Natig M. Atakishiyev, E. I. Jafarov, Sh. M. Nagiyev +1 more
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.
Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Jul 6, 1998•2 citations