Electron-pair densities with time-dependent quantum Monte-Carlo

Fuente: arXiv
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Main Author: Christov, Ivan P.
Format: Preprint
Published: 2013
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author Christov, Ivan P.
author_facet Christov, Ivan P.
contents In this paper we use sets of de Broglie-Bohm trajectories to describe the quantum correlation effects which take place between the electrons in helium atom due to exchange and Coulomb interactions. A short-range screening of the Coulomb potential is used to modify the repulsion between the same spin electrons in physical space in order to comply with the Pauli's exclusion principle. By calculating the electron-pair density for ortho-helium we found that the shape of the exchange hole can be controlled uniquely by a simple screening parameter. For para-helium the inter-electronic distance, and hence the Coulomb hole, results from the combined action of the Coulomb repulsion and the non-local quantum correlations. In this way a robust and self-interaction-free approach is presented to find both the ground state and the time evolution of non-relativistic quantum systems.
format Preprint
id arxiv_https___arxiv_org_abs_1304_1421
institution arXiv
publishDate 2013
record_format arxiv
spellingShingle Electron-pair densities with time-dependent quantum Monte-Carlo
Christov, Ivan P.
Atomic Physics
Chemical Physics
In this paper we use sets of de Broglie-Bohm trajectories to describe the quantum correlation effects which take place between the electrons in helium atom due to exchange and Coulomb interactions. A short-range screening of the Coulomb potential is used to modify the repulsion between the same spin electrons in physical space in order to comply with the Pauli's exclusion principle. By calculating the electron-pair density for ortho-helium we found that the shape of the exchange hole can be controlled uniquely by a simple screening parameter. For para-helium the inter-electronic distance, and hence the Coulomb hole, results from the combined action of the Coulomb repulsion and the non-local quantum correlations. In this way a robust and self-interaction-free approach is presented to find both the ground state and the time evolution of non-relativistic quantum systems.
title Electron-pair densities with time-dependent quantum Monte-Carlo
topic Atomic Physics
Chemical Physics
url https://arxiv.org/abs/1304.1421