Orbitally-Stable States in Generalized Hartree-Fock Theory

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Date
2009
Link to item file
http://hal.archives-ouvertes.fr/hal-00250383/en/
Dewey
Probabilités et mathématiques appliquées
Sujet
compact self-adjoint operators; trace-class operators; mixed states; occupation numbers; Lieb-Thirring inequality; Schrödinger operator; asymptotic distribution of eigenvalues; free energy; temperature; entropy; Hartree-Fock model; self-consistent potential; orbital stability; nonlinear equation; loss of compactness
Journal issue
Mathematical Models and Methods in Applied Sciences
Volume
19
Number
3
Publication date
2009
Article pages
347-367
Publisher
World Scientific
DOI
http://dx.doi.org/10.1142/S0218202509003450
URI
https://basepub.dauphine.fr/handle/123456789/923
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Author
Dolbeault, Jean
Felmer, Patricio
Lewin, Mathieu
Type
Article accepté pour publication ou publié
Abstract (EN)
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.