Quasi-Exact Solvability of a Hyperbolic Intermolecular Potential Induced by an Effective Mass Step

Axel Schulze-Halberg
2011 International Journal of Mathematics and Mathematical Sciences  
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 andL2-solutions of the corresponding Schrödinger equation are obtained in explicit form.
doi:10.1155/2011/358198 fatcat:7l4bpiuqwjg5ndlqlram2nglbi