dorsal/arxiv
View SchemaSolution of a Hamiltonian of quantum dots with Rashba spin-orbit coupling: quasi-exact solution
| Authors | Hayriye Tutunculer, Ramazan Koc, Eser Olgar |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0411124 |
| URL | https://arxiv.org/abs/quant-ph/0411124 |
| DOI | 10.1088/0305-4470/37/47/011 |
| Journal | J. Phys. A: Math. Gen.37 2004 11431-11438 |
Abstract
We present a method to solve the problem of Rashba spin-orbit coupling in semiconductor quantum dots, within the context of quasi-exactly solvable spectral problems. We show that the problem possesses a hidden osp(2,2) superalgebra. We constructed a general matrix whose determinant provide exact eigenvalues. Analogous mathematical structures between the Rashba and some of the other spin-boson physical systems are notified.
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"abstract": "We present a method to solve the problem of Rashba spin-orbit coupling in\nsemiconductor quantum dots, within the context of quasi-exactly solvable\nspectral problems. We show that the problem possesses a hidden osp(2,2)\nsuperalgebra. We constructed a general matrix whose determinant provide exact\neigenvalues. Analogous mathematical structures between the Rashba and some of\nthe other spin-boson physical systems are notified.",
"arxiv_id": "quant-ph/0411124",
"authors": [
"Hayriye Tutunculer",
"Ramazan Koc",
"Eser Olgar"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0305-4470/37/47/011",
"journal_ref": "J. Phys. A: Math. Gen.37 2004 11431-11438",
"title": "Solution of a Hamiltonian of quantum dots with Rashba spin-orbit coupling: quasi-exact solution",
"url": "https://arxiv.org/abs/quant-ph/0411124"
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