Semi-classical limit theorems for Hartree-Fock theory |
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| Authors: | Joseph G Conlon |
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| Institution: | (1) Department of Mathematics, University of Missouri, 65211 Columbia, MO, USA |
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| Abstract: | Consider a large number of electrons with Coulomb repulsion moving under the influence of static nuclei. It is assumed the potentials due to the nuclei are Coulombic away from their centers but are smooth at the centers, so no singularities exist. The author shows that the exchange energy for the Hartree-Fock ground state of this system converges in a suitable limit to the formula obtained by Dirac for exchange energy as an integral of the one body density.Research supported by NSF Grant No. MCS8100761 |
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