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| Solvable rational extensions of the Morse and Kepler-Coulomb potentials |
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| Yves Grandati1 |
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| We show that it is possible to generate an infinite set of solvable rational extensions from every exceptional first category translationally shape invariant potential. This is made by using Darboux-Bäcklund transformations based on unphysical regular Riccati-Schrödinger functions which are obtained from specific symmetries associated to the considered family of potentials. |
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| 1 : | FCN - Fédération de Chimie de Nancy |
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| exactly solvable models – supersymmetric quantum mechanics – Darboux-Bäcklund transformations |
| hal-00579161, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00579161 | |
| oai:hal.archives-ouvertes.fr:hal-00579161 | |
| Contributeur : Yves Grandati | |
| Soumis le : Mercredi 23 Mars 2011, 10:49:21 | |
| Dernière modification le : Vendredi 25 Mars 2011, 17:34:22 | |
