Department of Mathematics and Actuarial Science, Indiana University Northwest, 3400 Broadway, Gary, IN 46408, USA
Academic Editor: N. Govil
Copyright © 2011 Axel Schulze-Halberg. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.