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The Energy Spectra of Two Interacting Electrons in a Parabolic Quantum Dot In The Presence of a Magnetic Field: Interpolation Approach

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Sun, 2014-03-30 10:32 — Mohammad Khalil Mohammad Elsaid
Journal Title, Volume, Page: 
Phys. Scr. 54 309 doi:10.1088/0031-8949/54/3/010
Year of Publication: 
1996
Link: 
http://iopscience.iop.org/1402-4896/54/3/010/
Authors: 
M Abu Saa
Department of Physics, Eastern Mediterranean University, Gazi Magosa, N. Cyprus, Mersin 10, Turkey
M El-Said
Department of Physics, Eastern Mediterranean University, Gazi Magosa, N. Cyprus, Mersin 10, Turkey
Current Affiliation: 
Department of Physics, Faculty of Science, An-Najah National University, Nablus, Palestine
[email protected]
Preferred Abstract (Original): 

An interpolation formula between the energies of a quantum dot in high-and low-magnetic field limits is proposed. The formula is implemented to produce the energy spectra of the parabolic quantum dot in the presence of a magnetic field of arbitrary strength. The transitions in the angular momenta of the ground state energy of interacting electrons confined in the quantum dot as a function of magnetic field strength is studied. A good agreement is obtained when our results are tested against exact numerical work.