Kinetic energy estimates for the accuracy of the time-dependent Hartree–Fock approximation with Coulomb interaction
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
Journal articlePermalink
https://hdl.handle.net/10161/17112Published Version (Please cite this version)
10.1016/j.matpur.2015.09.003Publication Info
(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
More Info
Show full item recordScholars@Duke
Peter Pickl
Visiting Professor of Global Studies
Starting with the autumn term 2018 I will teach the foundational mathematics and integrated
science courses in the undergraduate program at DKU. In the coming years, other classes
on several topics of mathematics and mathematical physics will be taught.
Articles written by Duke faculty are made available through the campus open access policy. For more information see: Duke Open Access Policy
Rights for Collection: Scholarly Articles
Works are deposited here by their authors, and represent their research and opinions, not that of Duke University. Some materials and descriptions may include offensive content. More info