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Article Dans Une Revue Mathematical Models and Methods in Applied Sciences Année : 2009

Orbitally stable states in generalized Hartree-Fock theory

Résumé

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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Dates et versions

hal-00250383 , version 1 (11-02-2008)

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Jean Dolbeault, Patricio Felmer, Mathieu Lewin. Orbitally stable states in generalized Hartree-Fock theory. Mathematical Models and Methods in Applied Sciences, 2009, 19 (3), pp.347-367. ⟨hal-00250383⟩
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