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  4. Energy and density distribution of a finite number of interacting electrons in quantum dots

Energy and density distribution of a finite number of interacting electrons in quantum dots

MMC.
2025;
Volume 12, Number 1
: pp. 241–247
Received: April 16, 2024
Revised: January 23, 2025
Accepted: February 20, 2025

Kostrobij P. P., Polovyi V. Ye., Trynoha M. T., Pits O. Y.  Energy and density distribution of a finite number of interacting electrons in quantum dots.  Mathematical Modeling and Computing. Vol. 12, No. 1, pp. 241–247 (2025)    

Authors:
  1. P. P. Kostrobij
  2. V. Ye. Polovyi
  3. M. T. Trynoha
  4. O. Y. Pits
1
Lviv Polytechnic National University
2
Lviv Polytechnic National University
3
Lviv Polytechnic National University
4
Lviv Polytechnic National University

The paper considers a model of a two-dimensional interacting electron gas confined in an asymmetric oscillator potential well.  It is investigated the energy of the system's ground state and electron density using restricted Boltzmann machine.

restricted Boltzmann machine
quantum dots
many electron system
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