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

Axel Schulze-Halberg

International Journal of Mathematics and Mathematical Sciences, 2011, vol. 2011, 1-9

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.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:358198

DOI: 10.1155/2011/358198

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