dorsal/arxiv
View SchemaQuasi-exact solutions for two interacting electrons in two-dimensional anisotropic dots
| Authors | Przemyslaw Koscik, Anna Okopinska |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0607176 |
| URL | https://arxiv.org/abs/quant-ph/0607176 |
| DOI | 10.1088/1751-8113/40/5/012 |
| Journal | J.Phys .A:Math.Theor.40(2007)1045-1055 |
Abstract
We present an analysis of the two-dimensional Schrodinger equation for two electrons interacting via Coulombic force and confined in an anizotropic harmonic potential. The separable case of wy = 2wx is studied particularly carefully. The closed-form expressions for bound-state energies and the corresponding eigenfunctions are found at some particular values of wx. For highly-accurate determination of energy levels at other values of wx, we apply an efficient scheme based on the Frobenius expansion.
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"abstract": "We present an analysis of the two-dimensional Schrodinger equation for two\nelectrons interacting via Coulombic force and confined in an anizotropic\nharmonic potential. The separable case of wy = 2wx is studied particularly\ncarefully. The closed-form expressions for bound-state energies and the\ncorresponding eigenfunctions are found at some particular values of wx. For\nhighly-accurate determination of energy levels at other values of wx, we apply\nan efficient scheme based on the Frobenius expansion.",
"arxiv_id": "quant-ph/0607176",
"authors": [
"Przemyslaw Koscik",
"Anna Okopinska"
],
"categories": [
"quant-ph",
"cond-mat.mtrl-sci",
"cond-mat.str-el",
"math-ph",
"math.MP"
],
"doi": "10.1088/1751-8113/40/5/012",
"journal_ref": "J.Phys .A:Math.Theor.40(2007)1045-1055",
"title": "Quasi-exact solutions for two interacting electrons in two-dimensional anisotropic dots",
"url": "https://arxiv.org/abs/quant-ph/0607176"
},
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