New conditionally exactly solvable inverse power law potentials
Mathematical Physics
2015-12-08 v1 math.MP
Quantum Physics
Abstract
We give two conditionally exactly solvable inverse power law potentials whose linearly independent solutions include a sum of two confluent hypergeometric functions. We notice that they are partner potentials and multiplicative shape invariant. The method used to find the solutions works with the two Schrodinger equations of the partner potentials. Furthermore we study some of the properties of these potentials.
Keywords
Cite
@article{arxiv.1512.01928,
title = {New conditionally exactly solvable inverse power law potentials},
author = {A. Lopez-Ortega},
journal= {arXiv preprint arXiv:1512.01928},
year = {2015}
}
Comments
10 pages, 2 figures