Abstract
The ground-state energies of two interacting electrons, confined in a quantum dot (QD), are calculated. We have used the shifted 1/N expansion method to solve the relative part Hamiltonian of a QD presented in a uniform magnetic field. An energy expression for QD states in a magnetic field of arbitrary strength is given. The transitions in the angular momentum and spin of the QD ground state are also shown. Based on comparisons with the eigenenergies produced by various computational methods like: exact, Hartree–Fock (HF), local spin density approximation (LSDA), variational Monte Carlo (VMC) and diffusion Monte Carlo (DMC) methods, the shifted expansion method gives very good results.
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