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Morse potential and its relationship with the Coulomb in a position-dependent mass background

par Bagchi, Bijan;Gorain, P.S.;Quesne, Christiane
Référence Modern physics letters A, 21, 36, page (2703-2708)
Publication Publié, 2006-11

Article révisé par les pairs

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Résumé :

We provide some explicit examples wherein the Schrödinger equation for the Morse potential remains exactly solvable in a position-dependent mass background. Furthermore, we show how in such a context, the map from the full line (-∞, ∞) to the half-line (0, ∞) may convert an exactly solvable Morse potential into an exactly solvable Coulomb one. This generalizes a well-known property of constant-mass problems. © World Scientific Publishing Company.