Kinetic energy estimates for the accuracy of the time-dependent Hartree–Fock approximation with Coulomb interaction
Date
2016-01
Authors
Journal Title
Journal ISSN
Volume Title
Repository Usage Stats
views
downloads
Citation Stats
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.
Type
Department
Description
Provenance
Citation
Permalink
Published Version (Please cite this version)
Publication Info
Bach, V, S Breteaux, S Petrat, P Pickl and T Tzaneteas (2016). Kinetic energy estimates for the accuracy of the time-dependent Hartree–Fock approximation with Coulomb interaction. Journal de Mathématiques Pures et Appliquées, 105(1). 10.1016/j.matpur.2015.09.003 Retrieved from https://hdl.handle.net/10161/17112.
This is constructed from limited available data and may be imprecise. To cite this article, please review & use the official citation provided by the journal.
Collections
Unless otherwise indicated, scholarly articles published by Duke faculty members are made available here with a CC-BY-NC (Creative Commons Attribution Non-Commercial) license, as enabled by the Duke Open Access Policy. If you wish to use the materials in ways not already permitted under CC-BY-NC, please consult the copyright owner. Other materials are made available here through the author’s grant of a non-exclusive license to make their work openly accessible.