Quasi-Exact Solvability of a Hyperbolic Intermolecular Potential Induced by an Effective Mass Step
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.
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2011-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2011/358198 |
| Summary: | 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. |
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| ISSN: | 0161-1712 1687-0425 |