A new class of coherent states with Meixner-Pollaczek polynomials for the Gol'dman-Krivchenkov Hamiltonian

Abstract

A class of generalized coherent states with a new type of the identity resolution are constructed by replacing the labeling parameter zn/n! of the canonical coherent states by Meixner-Pollaczek polynomials with specific parameters. The constructed coherent states belong to the state Hilbert space of the Gol'dman-Krivchenkov Hamiltonian.

10 pages, Submitted

References in corpus (2)

• Coherent states associated to the wavefunctions and the spectrum of the isotonic oscillator
• Closed-form sums for some perturbation series involving associated Laguerre polynomials

Cited by in corpus (1)

• Phase coherent states with circular Jacobi polynomials for the pseudoharmonic oscillator