Electronic properties of two interacting electrons in a quantum pseudodot under magnetic field: Perturbation theory and two parameters variational procedure

•We have studied a system of two interacting electrons in a 2D quantum pseudodot.•The system is under the influence of an external magnetic field.•We have employed two different methods to study the ground state electronic properties.•For this purpose, we applied the perturbation theory and variational method.•In variational method, we have used a trial function with one and two parameters.

In this paper, we have studied the ground state energy and wave function of a system of two interacting electrons in a two-dimensional (2D) quantum pseudodot under the influence of an external magnetic field. For this purpose, we have employed two different methods. First, we have used the perturbation theory and obtained analytic ground state energy of the system. Second, we have applied the variational procedure and considered a trial wave function with one and two variational parameters. We have found that against to a 2D quantum dot with parabolic potential, the results obtained from that first-order perturbation method is lower than the results with variational method.