Fast evaluation of interaction integrals for confined systems with machine learning
Computational Physics
2020-08-13 v2 Mesoscale and Nanoscale Physics
Abstract
The calculation of interaction integrals is a bottleneck for the treatment of many-body quantum systems due to its high numerical cost. We conduct configuration interaction calculations of the few-electron states confined in III-V semiconductor 2D structures using a shallow neural network to calculate the two-electron integrals, that can be used for general isotropic interaction potentials. This approach allows for a speed up of the evaluation of the energy levels and a controllable accuracy.
Cite
@article{arxiv.2007.12875,
title = {Fast evaluation of interaction integrals for confined systems with machine learning},
author = {Alina Mreńca-Kolasińska and Krzysztof Kolasiński and Bartłomiej Szafran},
journal= {arXiv preprint arXiv:2007.12875},
year = {2020}
}
Comments
9 pages, 10 figures