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

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  • Axel Schulze-Halberg

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 L 2 -solutions of the corresponding Schrödinger equation are obtained in explicit form.

Suggested Citation

  • Axel Schulze-Halberg, 2011. "Quasi-Exact Solvability of a Hyperbolic Intermolecular Potential Induced by an Effective Mass Step," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2011, pages 1-9, February.
  • Handle: RePEc:hin:jijmms:358198
    DOI: 10.1155/2011/358198
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