The influence of external fields on the energy of two interacting electrons in a quantum dot

In this paper, the effects of both an external electric field and an external magnetic field on the energy of two interacting electrons in a two-dimensional parabolic quantum dot are investigated for various quantum states (n, vertical bar m vertical bar) in the framework of the asymptotic iteration method. It is seen that the energy eigenvalues increase monotonically with increasing electric and magnetic field strengths in the weak- and strong-field regimes. However, the behavior is slightly different in the two regimes. Whereas the energy values increase linearly in the low-electric-field regime, they increase much more than linearly in the strong-field regime. This paper demonstrates that it is possible to obtain the energy eigenvalues of two electrons in a two-dimensional parabolic quantum dot not only for cases with and without an electric field and with and without a magnetic field, but also for cases where magnetic and electric fields (either strong or weak) are present simultaneously. (C) 2012 Elsevier Inc. All rights reserved.