An-Najah Staff

The ground-state properties of a two-dimensional quantum-dot are studied. We have used the shifted 1/N expansion method to solve the relative part Hamiltonian of two electrons confined in a quantum in the presence of an applied uniform magnetic field. The spin singlet-triplet transition in the ground state of the QD is shown. We have also displayed the singlet-triplet energy gap, J = ∆ = ET – ES, against the strength of the magnetic field for two electron quantum dot. Based on comparisons, the eigenenergies obtained by the shifted method are in excellent agreement with exact, variational, Hartree-Fock (HF) and Full-Configuration Interaction (FCI) methods.

We study the spectral properties of electron quantum dots (QDs) confined in 2D parabolic harmonic oscillator influenced by external uniform electrical and magnetic fields together with an Aharonov–Bohm (AB) flux field. We use the Nikiforov–Uvarov method in our calculations. Exact solutions for the energy levels and normalized wave functions are obtained for this exactly soluble quantum system. Based on the computed one-particle energetic spectrum and wave functions, the interband optical absorption GaAs spherical shape parabolic QDs is studied theoretically and the total optical absorption coefficient is calculated.