Energy spectra of two particles in a parabolic quantum dot: Numerical sweep method

The Schrodinger equation for two particles of the same mass in two- and thr ee-dimensional parabolic quantum dots is analyzed by using the trigonometri c sweep method. Novel curves which show quantum-size effects on the two-par ticle energy spectra and take into consideration the re pulsive and attract ive interaction as particular cases of the same phenomenom are presented. T he 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 res ults for the 2D two-electron problem are in good agreement with the ones ob tained previously by using other methods.