dorsal/arxiv
View SchemaHamiltonians with position-dependent mass, deformations and supersymmetry
| Authors | C. Quesne, B. Bagchi, A. Banerjee, V. M. Tkachuk |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0512046 |
| URL | https://arxiv.org/abs/quant-ph/0512046 |
Abstract
A new method for generating exactly solvable Schr\"odinger equations with a position-dependent mass is proposed. It is based on a relation with some deformed Schr\"odinger equations, which can be dealt with by using a supersymmetric quantum mechanical approach combined with a deformed shape-invariance condition. The solvability of the latter is shown to impose the form of both the deformed superpotential and the position-dependent mass. The conditions for the existence of bound states are determined. A lot of examples are provided and the corresponding bound-state spectrum and wavefunctions are reviewed.
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"abstract": "A new method for generating exactly solvable Schr\\\"odinger equations with a\nposition-dependent mass is proposed. It is based on a relation with some\ndeformed Schr\\\"odinger equations, which can be dealt with by using a\nsupersymmetric quantum mechanical approach combined with a deformed\nshape-invariance condition. The solvability of the latter is shown to impose\nthe form of both the deformed superpotential and the position-dependent mass.\nThe conditions for the existence of bound states are determined. A lot of\nexamples are provided and the corresponding bound-state spectrum and\nwavefunctions are reviewed.",
"arxiv_id": "quant-ph/0512046",
"authors": [
"C. Quesne",
"B. Bagchi",
"A. Banerjee",
"V. M. Tkachuk"
],
"categories": [
"quant-ph"
],
"title": "Hamiltonians with position-dependent mass, deformations and supersymmetry",
"url": "https://arxiv.org/abs/quant-ph/0512046"
},
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