1/9/2020
Speaker: Jorge Borrego
Title: On a class of para-orthogonal polynomials associated to a Schrödinger equation with energy dependent potential.
Abstract: We study a class of para-orthogonal polynomials associated to a family of hypergeometric orthogonal polynomials on the unit circle which define explicit solutions of an energy dependent potential Schrödinger equation. The potential contains, as a particular case, the symmetric Rosen–Morse potential. We show analytic properties, asymptotic behavior and relations of orthogonality of the eigenfunctions of the energy dependent Schrödinger equation.
References:
Borrego-Morell, J.A.; Bracciali, C.F.; Sri Ranga, A. On an Energy-Dependent Quantum System with Solutions in Terms of a Class of Hypergeometric Para-Orthogonal Polynomials on the Unit Circle. Mathematics 2020, 8, 1161.