dorsal/arxiv
View SchemaMorse potential and its relationship with the Coulomb in a position-dependent mass background
| Authors | B. Bagchi, P. S. Gorain, C. Quesne |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0607122 |
| URL | https://arxiv.org/abs/quant-ph/0607122 |
| DOI | 10.1142/S0217732306021888 |
| Journal | Mod. Phys. Lett. A 21 (2006) 2703-2708 |
Abstract
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.
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"abstract": "We provide some explicit examples wherein the Schr\\\"odinger equation for the\nMorse potential remains exactly solvable in a position-dependent mass\nbackground. Furthermore, we show how in such a context, the map from the full\nline $(- \\infty, \\infty)$ to the half line $(0, \\infty)$ may convert an exactly\nsolvable Morse potential into an exactly solvable Coulomb one. This generalizes\na well-known property of constant-mass problems.",
"arxiv_id": "quant-ph/0607122",
"authors": [
"B. Bagchi",
"P. S. Gorain",
"C. Quesne"
],
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"quant-ph",
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"math.MP"
],
"doi": "10.1142/S0217732306021888",
"journal_ref": "Mod. Phys. Lett. A 21 (2006) 2703-2708",
"title": "Morse potential and its relationship with the Coulomb in a position-dependent mass background",
"url": "https://arxiv.org/abs/quant-ph/0607122"
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