Abstract
<p class="1Body">The ground state energies of two interacting electrons in two dimensions are studied within the framework of shifted 1/N expansion. The effect of external uniform magnetic and electric have been studied. Energies of the relative part of the Hamiltonian of the system are calculated for both weak and strong field regimes. Our results show a very good agreement with those obtained by other computational methods like asymptotic integration (AIM) and exact diagonalizaion methods.</p>
Highlights
Quantum dots QDs are generally refer to nanostructures made from semiconductor materials, in which carries are confined in all spatial dimensions
We have used the method to calculate energies and binding energies for quantum dot with Gaussian potential confinement (Al-Hayek & Sandouqa, 2015), the results show a very good agreement with other computational methods like asymptotic integration method (AIM) and exact diagonalization method
For comparison of energy accuracy of our results, we list the energies obtained by exact method (García-Castelán, Choe, & Lee, 1998) and asymptotic iteration method AIM (Soylu, 2012)
Summary
Quantum dots QDs are generally refer to nanostructures made from semiconductor materials, in which carries are confined in all spatial dimensions. We have used the method to calculate energies and binding energies for quantum dot with Gaussian potential confinement (Al-Hayek & Sandouqa, 2015), the results show a very good agreement with other computational methods like asymptotic integration method (AIM) and exact diagonalization method. In this approach, the calculations are carried out for states with arbitrary quantum numbers (the principal and magnetic quantum numbers n and m, respectively) using forth-order perturbation theory in the shifted expansion parameter 1/ k , where k = N + 2m − a.
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