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arXiv · 0802.1577

Stability of the Hartree-Fock model with temperature

Jean Dolbeault·Patricio Felmer·Mathieu Lewin
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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.

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Jean Dolbeault, Patricio Felmer, Mathieu Lewin. 2008-02-12. Stability of the Hartree-Fock model with temperature. https://arxiv.org/abs/0802.1577

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