The Influence of Confining Parameters on the Ground State Properties of Interacting Electrons in a Two-dimensional Quantum Dot with Gaussian Potential

In this work, the ground-state properties of an interacting electron gas confined in a two dimensional quantum dot system with the Gaussian potential υ(r) = V0(1 − exp(−r2/p)), where V0 and p are confinement parameters, are determined numerically by using the Thomas-Fermi approximation. The shape of the potential is modified by changing the V0 and the p values, and the influence of the confining potential on the system's properties, such as the chemical energy, the density profile, the kinetic energy, the confining energy, etc., is analyzed for both the non-interacting and the interacting cases. The results are compared with those calculated for a harmonic potential, and excellent agreement is obtained in the limit of high p values for both the non-interacting and the interacting cases.