The Energy Eigenvalues of the Quantum Dot Helium Using the Shifted 1/N Expansion Method

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Journal Title, Volume, Page: 
Dirasat Pure Sciences 01/2009; 36(1)
Year of Publication: 
Mohammad Elsaid
Current Affiliation: 
Department of Physics, Faculty of Science, An-Najah National University, Nablus, Palestine
Mohammad Al-Nafaa
Salah Zugail
Preferred Abstract (Original): 

The eigenenergies of the low-lying energy levels of a two-dimensional quantum-dot helium are calculated. We have used the shifted 1/N expansion method to solve the relative part Hamiltonian of the quantum-dot helium for various values of coulomb to confinement energies ratio in a zero magnetic field. Based on comprehensive comparisons, the shifted method gives accurate energies compared with the corresponding ones obtained by perturbation, variational, full configuration interaction (FCI), Hartree-Fock (HF) and diagonalization methods.

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