Physics – Quantum Physics
Scientific paper
2006-07-18
Mod. Phys. Lett. A 21 (2006) 2703-2708
Physics
Quantum Physics
9 pages, no figure; final published version
Scientific paper
10.1142/S0217732306021888
We provide some explicit examples wherein the Schr\"odinger 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 $(- \infty, \infty)$ to the half line $(0, \infty)$ may convert an exactly solvable Morse potential into an exactly solvable Coulomb one. This generalizes a well-known property of constant-mass problems.
Bagchi Bhaskar
Gorain P. S.
Quesne Christiane
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