dorsal/arxiv
View SchemaExact Solutions of the Schr\"{o}dinger Equation with position-dependent effective mass via general point canonical transformation
| Authors | Cevdet Tezcan, Ramazan Sever |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0604041 |
| URL | https://arxiv.org/abs/quant-ph/0604041 |
| DOI | 10.1007/s10773-007-9589-6 |
| Journal | J. Math. Chem. 42, 387(2007) |
Abstract
Exact solutions of the Schrodinger equation are obtained for the Rosen-Morse and Scarf potentials with the position-dependent effective mass by appliying a general point canonical transformation. The general form of the point canonical transformation is introduced by using a free parameter. Two different forms of mass distributions are used. A set of the energy eigenvalues of the bound states and corresponding wave functions for target potentials are obtained as a function of the free parameter.
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"abstract": "Exact solutions of the Schrodinger equation are obtained for the Rosen-Morse\nand Scarf potentials with the position-dependent effective mass by appliying a\ngeneral point canonical transformation. The general form of the point canonical\ntransformation is introduced by using a free parameter. Two different forms of\nmass distributions are used. A set of the energy eigenvalues of the bound\nstates and corresponding wave functions for target potentials are obtained as a\nfunction of the free parameter.",
"arxiv_id": "quant-ph/0604041",
"authors": [
"Cevdet Tezcan",
"Ramazan Sever"
],
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"quant-ph"
],
"doi": "10.1007/s10773-007-9589-6",
"journal_ref": "J. Math. Chem. 42, 387(2007)",
"title": "Exact Solutions of the Schr\\\"{o}dinger Equation with position-dependent effective mass via general point canonical transformation",
"url": "https://arxiv.org/abs/quant-ph/0604041"
},
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