Systems of orthogonal polynomials defined by hypergeometric type equations with application to quantum mechanics
Mathematical Physics
2015-06-26 v1 math.MP
Quantum Physics
Abstract
A hypergeometric type equation satisfying certain conditions defines either a finite or an infinite system of orthogonal polynomials. We present in a unified and explicit way all these systems of orthogonal polynomials, the associated special functions and the corresponding raising/lowering operators. The considered equations are directly related to some Schrodinger type equations (Poschl-Teller, Scarf, Morse, etc), and the defined special functions are related to the corresponding bound-state eigenfunctions.
Cite
@article{arxiv.math-ph/0602037,
title = {Systems of orthogonal polynomials defined by hypergeometric type equations with application to quantum mechanics},
author = {Nicolae Cotfas},
journal= {arXiv preprint arXiv:math-ph/0602037},
year = {2015}
}
Comments
Additional results available at http://fpcm5.fizica.unibuc.ro/~ncotfas