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Electron-Pair Densities with Time-Dependent Quantum Monte Carlo
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...
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Published in: | Journal of atomic and molecular physics 2013-01, Vol.2013 (2013), p.1-5 |
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container_title | Journal of atomic and molecular physics |
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creator | Christov, Ivan P. |
description | 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 Pauli's exclusion principle. By calculating the electron-pair density for orthohelium, we found that the shape of the exchange hole can be controlled uniquely by a simple screening parameter. For parahelium the interelectronic distance, hence the Coulomb hole, results from the combined action of the Coulomb repulsion and the nonlocal 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 nonrelativistic quantum systems. |
doi_str_mv | 10.1155/2013/424570 |
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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 Pauli's exclusion principle. By calculating the electron-pair density for orthohelium, we found that the shape of the exchange hole can be controlled uniquely by a simple screening parameter. For parahelium the interelectronic distance, hence the Coulomb hole, results from the combined action of the Coulomb repulsion and the nonlocal 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 nonrelativistic quantum systems.</description><identifier>ISSN: 2314-8039</identifier><identifier>EISSN: 2314-8020</identifier><identifier>DOI: 10.1155/2013/424570</identifier><language>eng</language><publisher>Cairo, Egypt: Hindawi Puplishing Corporation</publisher><subject>Correlation ; Coulomb friction ; Density ; Evolution ; Exchange ; Mathematical analysis ; Molecular physics ; Pauli exclusion principle ; Screening</subject><ispartof>Journal of atomic and molecular physics, 2013-01, Vol.2013 (2013), p.1-5</ispartof><rights>Copyright © 2013 Ivan P. Christov.</rights><rights>Copyright © 2013 Ivan P. Christov. Ivan P. Christov et al. 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subjects | Correlation Coulomb friction Density Evolution Exchange Mathematical analysis Molecular physics Pauli exclusion principle Screening |
title | Electron-Pair Densities with Time-Dependent Quantum Monte Carlo |
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