dorsal/arxiv
View SchemaExact solutions of effective-mass Schrodinger equations
| Authors | Bulent Gonul, Okan Ozer, Besire Gonul, Fatma Uzgun |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0211113 |
| URL | https://arxiv.org/abs/quant-ph/0211113 |
| DOI | 10.1142/S0217732302008514 |
| Journal | Modern Physics Letters A, Vol. 17, No. 37 (2002) 2453-2465 |
Abstract
We outline a general method for obtaining exact solutions of Schr\"{o}dinger equations with a position dependent effective mass and compare the results with those obtained within the frame of supersymmetric quantum theory. We observe that the distinct effective mass Hamiltonians proposed in the literature in fact describe exactly equivalent systems having identical spectra and wave functions as far as exact solvability is concerned. This observation clarifies the Hamiltonian dependence of the band-offset ratio for quantum wells.
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"abstract": "We outline a general method for obtaining exact solutions of Schr\\\"{o}dinger\nequations with a position dependent effective mass and compare the results with\nthose obtained within the frame of supersymmetric quantum theory. We observe\nthat the distinct effective mass Hamiltonians proposed in the literature in\nfact describe exactly equivalent systems having identical spectra and wave\nfunctions as far as exact solvability is concerned. This observation clarifies\nthe Hamiltonian dependence of the band-offset ratio for quantum wells.",
"arxiv_id": "quant-ph/0211113",
"authors": [
"Bulent Gonul",
"Okan Ozer",
"Besire Gonul",
"Fatma Uzgun"
],
"categories": [
"quant-ph"
],
"doi": "10.1142/S0217732302008514",
"journal_ref": "Modern Physics Letters A, Vol. 17, No. 37 (2002) 2453-2465",
"title": "Exact solutions of effective-mass Schrodinger equations",
"url": "https://arxiv.org/abs/quant-ph/0211113"
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