Hypergeometric type operators and their supersymmetric partners
Mathematical Physics
2012-04-19 v3 math.MP
Nuclear Theory
Quantum Physics
Abstract
The generalization of the factorization method performed by Mielnik [J. Math. Phys. {\bf 25}, 3387 (1984)] opened new ways to generate exactly solvable potentials in quantum mechanics. We present an application of Mielnik's method to hypergeometric type operators. It is based on some solvable Riccati equations and leads to a unitary description of the quantum systems exactly solvable in terms of orthogonal polynomials or associated special functions.
Keywords
Cite
@article{arxiv.1004.1496,
title = {Hypergeometric type operators and their supersymmetric partners},
author = {Nicolae Cotfas and Liviu Adrian Cotfas},
journal= {arXiv preprint arXiv:1004.1496},
year = {2012}
}
Comments
New examples concerning the Poschl-Teller, Morse, Scarf, Coulomb, Rosen-Morse and Eckart type potentials have been added