Orthogonal polynomials defined by hypergeometric type equations with application to quantum mechanics
量子物理
2009-11-10 v2
摘要
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.
引用
@article{arxiv.quant-ph/0306012,
title = {Orthogonal polynomials defined by hypergeometric type equations with application to quantum mechanics},
author = {Nicolae Cotfas},
journal= {arXiv preprint arXiv:quant-ph/0306012},
year = {2009}
}
备注
10 pages, LaTeX2e in IOP style