International Journal of Mathematics and Mathematical Sciences (Jan 2011)
Quasi-Exact Solvability of a Hyperbolic Intermolecular Potential Induced by an Effective Mass Step
Abstract
It is shown that a nonsolvable third-order hyperbolic potential becomes quasi-exactly solvable after the introduction of a hyperbolic effective mass step. Stationary energies and L2-solutions of the corresponding Schrödinger equation are obtained in explicit form.