arXiv subjects

Patrick Kayupe Kikodio

Publications and source records attributed to Patrick Kayupe Kikodio.

2 recordsLinked to original sources

arXiv2016

Orthogonal polynomials attached to coherent states for the symmetric Poschl-Teller oscillator

We consider a one-parameter family of nonlinear coherent states by replacing the factorial in coefficients of the canonical coherent states by a specific generalized factorial depending on a parameter gamma. These states are superposition of eigenstates of the Hamiltonian with a symmetric Poschl-Teller potential depending on a parameter nu > 1. The associated Bargmann-type transform is defined for equal parameters. Some results on the infinite square well potential are also derived. For some different values of gamma, we discuss two sets of orthogonal polynomials that are naturally attached to these coherent states.

math-ph↗

arXiv2015

New coherent states with Laguerre polynomials coefficients for the symmetric Poschl-Teller oscillator

We construct a new class of coherent states labeled by points z of the complex plane and depending on three numbers (gamma, nu) and epsilon positive by replacing the coefficients of the canonical coherent states by Laguerre polynomials. These states are superpositions of eigenstates of the symmetric Poschl-Teller oscillator and they solve the identity of the states Hilbert space at the limit epsilon goes to 0. Their wavefunctions are obtained in a closed form for a special case of parameters (gamma, nu). We discuss their associated coherent states transform which leads to an integral representation of Hankel type for Laguerre functions.

math-ph↗