Stability of the Hartree-Fock model with temperature
35Q40 | 81V45 | 47G20 | Mathematics - Analysis of PDEs | 81Q10 | 82B10
arxiv: Nuclear Theory | Physics::Atomic Physics
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.