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Energy Spectra of Two Particles in a Parabolic Quantum Dot: Numerical Sweep Method
Author(s) -
Mikhailov I.D.,
Betancur F.J.
Publication year - 1999
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/(sici)1521-3951(199906)213:2<325::aid-pssb325>3.0.co;2-w
Subject(s) - quantum dot , exciton , electron , schrödinger equation , physics , spectral line , energy (signal processing) , quantum mechanics , quantum , particle (ecology) , condensed matter physics , computational physics , geology , oceanography
The Schrödinger equation for two particles of the same mass in two‐ and three‐dimensional parabolic quantum dots is analyzed by using the trigonometric sweep method. Novel curves which show quantum‐size effects on the two‐particle energy spectra and take into consideration the repulsive and attractive interaction as particular cases of the same phenomenom are presented. The level‐ordering and crossovers of these curves for 2D and 3D exciton and two‐electron in a spherical quantum dot are analyzed and discussed. Our results for the 2D two‐electron problem are in good agreement with the ones obtained previously by using other methods.