Stability of the Hartree-Fock model with temperature

Simple item page
dc.creatorDolbeault, Jean
dc.creatorFelmer, Patricio
dc.creatorLewin, Mathieu
dc.date2008-02-12
dc.date.accessioned2026-07-07T12:58:18Z
dc.date.available2026-07-07T12:58:18Z
dc.descriptionThis 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.
dc.identifierhttps://arxiv.org/abs/0802.1577
dc.identifierhttp://arxiv.org/abs/0802.1577
dc.identifierMathematical Models and Methods in Applied Sciences 19, 3 (2009) 347-367
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225196
dc.subjectAnalysis of PDEs
dc.subject35Q40; 81V45; 47G20; 81Q10; 82B10
dc.titleStability of the Hartree-Fock model with temperature
dc.typetext

Files

Collections

arXiv