dorsal/arxiv
View SchemaA new effective mass Hamiltonian and associated Lame equation: bound states
| Authors | A. Ganguly, M. V. Ioffe, L. M. Nieto |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0610248 |
| URL | https://arxiv.org/abs/quant-ph/0610248 |
| DOI | 10.1088/0305-4470/39/47/010 |
| Journal | J.Phys. A39 (2006) 14659-14680 |
Abstract
A new quantum model with rational functions for the potential and effective mass is proposed in a stretchable region outside which both are constant. Starting from a generalized effective mass kinetic energy operator the matching and boundary conditions for the envelope wave functions are derived. It is shown that in a mapping to an auxiliary constant-mass Schrodinger picture one obtains one-period ``associated Lame'' well bounded by two delta-wells or delta-barriers depending on the values of one ordering parameter. The results for bound states of this new solvable model are provided for a wide variation of the parameters.
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"abstract": "A new quantum model with rational functions for the potential and effective\nmass is proposed in a stretchable region outside which both are constant.\nStarting from a generalized effective mass kinetic energy operator the matching\nand boundary conditions for the envelope wave functions are derived. It is\nshown that in a mapping to an auxiliary constant-mass Schrodinger picture one\nobtains one-period ``associated Lame\u0027\u0027 well bounded by two delta-wells or\ndelta-barriers depending on the values of one ordering parameter. The results\nfor bound states of this new solvable model are provided for a wide variation\nof the parameters.",
"arxiv_id": "quant-ph/0610248",
"authors": [
"A. Ganguly",
"M. V. Ioffe",
"L. M. Nieto"
],
"categories": [
"quant-ph",
"hep-th",
"math-ph",
"math.MP"
],
"doi": "10.1088/0305-4470/39/47/010",
"journal_ref": "J.Phys. A39 (2006) 14659-14680",
"title": "A new effective mass Hamiltonian and associated Lame equation: bound states",
"url": "https://arxiv.org/abs/quant-ph/0610248"
},
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