Probability density of bipolaron in a parabolic potential two-dimensional quantum dot under external magnetic and electric fields

Abstract

In this article, we study the probability of the presence of electrons at any point in space in a parabolic potential quantum dot under the effect of an external magnetic and electric fields. The ground state and the first excited state energies were evaluated using the Pekar-type variational method. Numerical calculations indicate that the application of electric and magnetic fields have effects on the properties of the bipolaron. We also observed that when the system is in the presence of both fields electric and magnetic, the probability of the appearance of the two electrons near the center of the quantum point is greater. In addition, we found that for some values of both fields in the system, we can better control the bipolaron and we can also be able to obtain some polaronic behavior.