Eur. Phys. J. B 74, 415-418 (2010)
https://doi.org/10.1140/epjb/e2010-00080-y

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

Physics Department, Shahrood University of Technology, P.O. Box 3619995161-316 Shahrood, Iran

Corresponding author: h.hasanabadi@shahroodut.ac.ir

Received: 21 October 2009
Revised: 18 January 2010
Published online: 9 March 2010

Abstract

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.