A quasi-analytical approach to study energy levels of a two-electron quantum dot

Our approach is quasi-analytical. We consider the Hamiltonian of a two-electron quantum dot composed of quadratic plus Coulomb terms as well as a term related to the interaction with the external magnetic field. To avoid the complexity, the Taylor expansion of the effective potential is introduced into the problem and thereby a solution is found for the eigenvalues of the corresponding two-body Schrödinger equation in terms of the Wigner parameter. We have finally made a comparison with some other theoretical results.