|
| related topics |
| {equation, function, exp} |
| {energy, state, states} |
| {spin, pulse, spins} |
| {operator, operators, space} |
| {group, space, representation} |
| {field, particle, equation} |
| {force, casimir, field} |
| {algorithm, log, probability} |
| {bell, inequality, local} |
|
Spectra of Interacting Electrons in a Quantum Dot: Quasi-Exact Solution
Ramazan Koc, Hayriye Tutunculer, Eser Olgar
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.
- oai_identifier:
- oai:arXiv.org:quant-ph/0410181
- categories:
- quant-ph
- arxiv_id:
- quant-ph/0410181
- journal_ref:
- J. Korean Phys. Soc., Vol. 45, No. 4, October 2004, pp. 837-840
- created:
- 2004-10-22
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