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    The Influence of Confining Parameters on the Ground State Properties of Interacting Electrons in a Two-dimensional Quantum Dot with Gaussian Potential
    (KOREAN PHYSICAL SOC, 2018) Gulveren, Berna
    In this work, the ground-state properties of an interacting electron gas confined in a twodimensional quantum dot system with the Gaussian potential v(r) = V-0(1 - exp(-r(2)/p)), where V-0 and p are confinement parameters, are determined numerically by using the Thomas-Fermi approximation. The shape of the potential is modified by changing the V-0 and 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.
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    Quantum dot with N interacting electrons confined in a power-law external potential
    (ELSEVIER SCIENCE BV, 2012) Gulveren, Berna
    The ground-state physical properties, such as electron density, chemical potential, and total energy, of a two-dimensional quantum dot with N interacting electrons confined in a power-law external potential are numerically determined by the Thomas Fermi approximation. The effect of the confining potential on properties such as electron density and chemical potential is examined for both interacting and non-interacting systems. It is shown that the results of the calculations are in excellent agreement with those given in the literature. The results indicate that interactions and the shape of the confinement affect the density and thus the ground-state properties of the electrons significantly. (C) 2011 Elsevier Masson SAS. All rights reserved.