Stability of the Hartree-Fock model with temperature

Details Stability of the Hartree-Fock model with temperature Stability of the Hartree-Fock model with temperature

2008-02-12

arxiv.org/abs/0802.1577v1

Mathematical Models and Methods in Applied Sciences 19, 3 (2009) 347-367

Mathematics

Analysis of PDEs

Scientific paper

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.

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