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


Journal Article

© 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.

Full Text

Cited Authors

  • Bach, V; Breteaux, S; Petrat, S; Pickl, P; Tzaneteas, T

Published Date

  • January 1, 2016

Published In

Volume / Issue

  • 105 / 1

Start / End Page

  • 1 - 30

International Standard Serial Number (ISSN)

  • 0021-7824

Digital Object Identifier (DOI)

  • 10.1016/j.matpur.2015.09.003

Citation Source

  • Scopus