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Paper detail

Fast evaluation of interaction integrals for confined systems with machine learning

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.

preprint2020arXivOpen access
Alina Mreńca-KolasińskaKrzysztof KolasińskiBartłomiej Szafran
cond-mat.mes-hallphysics.comp-ph
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Alina Mreńca-KolasińskaKrzysztof KolasińskiBartłomiej Szafran

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