dorsal/arxiv
View SchemaSupersymmetric approach to exactly solvable systems with position-dependent effective masses
| Authors | Besire Gonul, Bulent Gonul, Dilek Tutcu, Okan Ozer |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0211112 |
| URL | https://arxiv.org/abs/quant-ph/0211112 |
| DOI | 10.1142/S0217732302008563 |
| Journal | Modern Physics Letters A, Vol. 17, No. 31 (2002) 2057-2066 |
Abstract
We discuss the relationship between exact solvability of the Schr\"{o}dinger equation with a position-dependent mass and the ordering ambiguity in the Hamiltonian operator within the frame of supersymmetric quantum mechanics. The one-dimensional Schr\"{o}dinger equation, derived from the general form of the effective mass Hamiltonian, is solved exactly for a system with exponentially changing mass in the presence of a potential with similar behaviour, and the corresponding supersymmetric partner Hamiltonians are related to the effective-mass Hamiltonians proposed in the literature.
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"abstract": "We discuss the relationship between exact solvability of the Schr\\\"{o}dinger\nequation with a position-dependent mass and the ordering ambiguity in the\nHamiltonian operator within the frame of supersymmetric quantum mechanics. The\none-dimensional Schr\\\"{o}dinger equation, derived from the general form of the\neffective mass Hamiltonian, is solved exactly for a system with exponentially\nchanging mass in the presence of a potential with similar behaviour, and the\ncorresponding supersymmetric partner Hamiltonians are related to the\neffective-mass Hamiltonians proposed in the literature.",
"arxiv_id": "quant-ph/0211112",
"authors": [
"Besire Gonul",
"Bulent Gonul",
"Dilek Tutcu",
"Okan Ozer"
],
"categories": [
"quant-ph"
],
"doi": "10.1142/S0217732302008563",
"journal_ref": "Modern Physics Letters A, Vol. 17, No. 31 (2002) 2057-2066",
"title": "Supersymmetric approach to exactly solvable systems with position-dependent effective masses",
"url": "https://arxiv.org/abs/quant-ph/0211112"
},
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