dorsal/arxiv
View SchemaSpectra of Interacting Electrons in a Quantum Dot: Quasi-Exact Solution
| Authors | Ramazan Koc, Hayriye Tutunculer, Eser Olgar |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0410181 |
| URL | https://arxiv.org/abs/quant-ph/0410181 |
| Journal | J. Korean Phys. Soc., Vol. 45, No. 4, October 2004, pp. 837-840 |
Abstract
We present a procedure to solve the Schroedinger equation of two interacting electrons in a quantum dot in the presence of an external magnetic field within the context of quasi-exactly-solvable spectral problems. We show that the symmetries of the Hamiltonian can be recovered for specific values of the magnetic field, which leads to an exact determination of the eigenvalues and eigenfunctions. We show that the problem possesses a hidden sl_2-algebraic structure.
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"abstract": "We present a procedure to solve the Schroedinger equation of two interacting\nelectrons in a quantum dot in the presence of an external magnetic field within\nthe context of quasi-exactly-solvable spectral problems. We show that the\nsymmetries of the Hamiltonian can be recovered for specific values of the\nmagnetic field, which leads to an exact determination of the eigenvalues and\neigenfunctions. We show that the problem possesses a hidden sl_2-algebraic\nstructure.",
"arxiv_id": "quant-ph/0410181",
"authors": [
"Ramazan Koc",
"Hayriye Tutunculer",
"Eser Olgar"
],
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"quant-ph"
],
"journal_ref": "J. Korean Phys. Soc., Vol. 45, No. 4, October 2004, pp. 837-840",
"title": "Spectra of Interacting Electrons in a Quantum Dot: Quasi-Exact Solution",
"url": "https://arxiv.org/abs/quant-ph/0410181"
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