SciPost Submission Page
Thomas-Fermi Approach to the Ground State of a Morse-Confined Quantum Dot with Interacting Electrons
by RIDVAN DURAK
Submission summary
| Authors (as registered SciPost users): | RIDVAN DURAK |
| Submission information | |
|---|---|
| Preprint Link: | scipost_202511_00059v1 (pdf) |
| Date submitted: | Nov. 24, 2025, 12:52 p.m. |
| Submitted by: | RIDVAN DURAK |
| Submitted to: | SciPost Physics Core |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approaches: | Theoretical, Computational |
The author(s) disclose that the following generative AI tools have been used in the preparation of this submission:
I declare that generative AI tools have been used in the preparation of this content. I affirm that I used these tools solely for Turkish-English translation and grammar checking purposes.
Abstract
In this study, a quantum dot (QD) system with many interacting electrons confined in a Morse potential is analyzed. The ground state properties, including electron density, chemical potential, kinetic energy, and Hartree energy, are examined using the Thomas-Fermi (TF) model. The novelty of this study lies in employing the Morse potential to explore the effects of confinement on quantum dots, which has not been extensively studied compared to harmonic or quartic potentials. Using the Thomas-Fermi (TF) model, the electron density for the two-dimensional electron gas interacting with the Morse potential at low temperatures is derived and solved numerically. The results demonstrate that the depth and curvature of the Morse potential significantly alter the electron interactions and overall system properties. These findings provide insights into the tunability of QD properties for potential applications in optoelectronics and nanotechnology.