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

dc.contributor.author

Bach, V

dc.contributor.author

Breteaux, S

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Petrat, S

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Pickl, P

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Tzaneteas, T

dc.date.accessioned

2018-06-04T15:42:22Z

dc.date.available

2018-06-04T15:42:22Z

dc.date.issued

2016-01

dc.date.updated

2018-06-04T15:42:21Z

dc.description.abstract

© 2015 The Authors. 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.

dc.identifier.issn

0021-7824

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1776-3371

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https://hdl.handle.net/10161/17112

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Elsevier BV

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Journal de Mathématiques Pures et Appliquées

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10.1016/j.matpur.2015.09.003

dc.subject

Hartree-Fock

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Many-body theory

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Mean-field limit for fermions

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

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Journal article

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1

pubs.organisational-group

Duke Kunshan University

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Duke

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Duke Kunshan University Faculty

pubs.publication-status

Published

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105

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