New conditionally exactly solvable inverse power law potentials

Author:

Lopez-Ortega, A.  

Journal:

PHYSICA SCRIPTA

Issue Date:

2015

Abstract(summary):

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.