Kinetic energy estimates for the accuracy of the time-dependent Hartree-Fock approximation with Coulomb interaction

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

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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
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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