Bach, Volker and Breteaux, Sébastien and Petrat, Sören P and Pickl, Peter and Tzaneteas, Tim
(2016)
*Kinetic energy estimates for the accuracy of the time-dependent Hartree-Fock approximation with Coulomb interaction.*
Journal des Mathematiques Pures et Appliquees, 105 (1).
pp. 1-30.
ISSN 0021-7824

Text
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## Abstract

We study the time evolution of a system of N spinless fermions in R3 which interact through a pair potential, e.g., the Coulomb potential. We compare the dynamics given by the solution to Schrödinger's equation with the time-dependent Hartree-Fock approximation, and we give an estimate for the accuracy of this approximation in terms of the kinetic energy of the system. This leads, in turn, to bounds in terms of the initial total energy of the system.

Item Type: | Article |
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DOI: | 10.1016/j.matpur.2015.09.003 |

Uncontrolled Keywords: | Hartree-Fock, Many-body theory, Mean-field limit for fermions |

Subjects: | 500 Science > 510 Mathematics 500 Science > 530 Physics |

Research Group: | Seiringer Group |

SWORD Depositor: | Sword Import User |

Depositing User: | Sword Import User |

Date Deposited: | 25 May 2016 13:30 |

Last Modified: | 25 May 2016 13:30 |

URI: | https://repository.ist.ac.at/id/eprint/581 |

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