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 |
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Wiley
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 |
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| _version_ | 1832556032519307264 |
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| author | Axel Schulze-Halberg |
| author_facet | Axel Schulze-Halberg |
| author_sort | Axel Schulze-Halberg |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-fc5cdac238394a0f8adf3899e8f8cc32 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-fc5cdac238394a0f8adf3899e8f8cc322025-02-03T05:46:42ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252011-01-01201110.1155/2011/358198358198Quasi-Exact Solvability of a Hyperbolic Intermolecular Potential Induced by an Effective Mass StepAxel Schulze-Halberg0Department of Mathematics and Actuarial Science, Indiana University Northwest, 3400 Broadway, Gary, IN 46408, USAIt 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.http://dx.doi.org/10.1155/2011/358198 |
| spellingShingle | Axel Schulze-Halberg Quasi-Exact Solvability of a Hyperbolic Intermolecular Potential Induced by an Effective Mass Step International Journal of Mathematics and Mathematical Sciences |
| title | Quasi-Exact Solvability of a Hyperbolic Intermolecular Potential Induced by an Effective Mass Step |
| title_full | Quasi-Exact Solvability of a Hyperbolic Intermolecular Potential Induced by an Effective Mass Step |
| title_fullStr | Quasi-Exact Solvability of a Hyperbolic Intermolecular Potential Induced by an Effective Mass Step |
| title_full_unstemmed | Quasi-Exact Solvability of a Hyperbolic Intermolecular Potential Induced by an Effective Mass Step |
| title_short | Quasi-Exact Solvability of a Hyperbolic Intermolecular Potential Induced by an Effective Mass Step |
| title_sort | quasi exact solvability of a hyperbolic intermolecular potential induced by an effective mass step |
| url | http://dx.doi.org/10.1155/2011/358198 |
| work_keys_str_mv | AT axelschulzehalberg quasiexactsolvabilityofahyperbolicintermolecularpotentialinducedbyaneffectivemassstep |