Date
2008
Lien vers un document non conservé dans cette base
http://hal.archives-ouvertes.fr/hal-00088819/en/
Indexation documentaire
Probabilités et mathématiques appliquées
Subject
Compact self-adjoint operators; Trace-class operators; mixed states; occupation numbers; Lieb-Thirring inequality; Gagliardo-Nirenberg inequality; logarithmic Sobolev inequality; optimal constants; orthonormal and sub-orthonormal systems; Schrödinger operator; asymptotic distribution of eigenvalues; free energy; embeddings; compactness results
Nom de la revue
Monatshefte für Mathematik
Volume
155
Numéro
1
Date de publication
2008
Pages article
43-66
Nom de l'éditeur
Springer
Auteur
Mayorga-Zambrano, Juan
Felmer, Patricio
Dolbeault, Jean
Type
Article accepté pour publication ou publié
Résumé en anglais
Interpolation inequalities of Gagliardo-Nirenberg type and compactness results for self-adjoint trace-class operators with finite kinetic energy are established. Applying these results to the minimization of various free energy functionals, we determine for instance stationary states of the Hartree problem with temperature corresponding to various statistics.
