Stability of the Hartree-Fock model with temperature
Analysis of PDEs
2009-04-01 v1
Abstract
This paper is devoted to the Hartree-Fock model with temperature in the euclidean space. For large classes of free energy functionals, minimizers are obtained as long as the total charge of the system does not exceed a threshold which depends on the temperature. The usual Hartree-Fock model is recovered in the zero temperature limit. An orbital stability result for the Cauchy problem is deduced from the variational approach.
Cite
@article{arxiv.0802.1577,
title = {Stability of the Hartree-Fock model with temperature},
author = {Jean Dolbeault and Patricio Felmer and Mathieu Lewin},
journal= {arXiv preprint arXiv:0802.1577},
year = {2009}
}