A necessary and sufficient condition for the stability of general molecular systems

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Date
1992
Description
Part 1 of the " Binding of atoms and stability of molecules in Hartree and Thomas-Fermi type theories" series.
Indexation documentaire
Analyse
Subject
molecular systems
Nom de la revue
Communications in Partial Differential Equations
Volume
17
Numéro
7-8
Date de publication
1992
Pages article
1051-1110
Nom de l'éditeur
Taylor & Francis
URI
https://basepub.dauphine.fr/handle/123456789/17313
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Auteur
Catto, Isabelle
Lions, Pierre-Louis
Type
Article accepté pour publication ou publié
Résumé en anglais
We study here the binding of atoms and molecules and the stability of general molecular systems including molecular ions. This is the first paper of a series devoted to the study of these general problems. We obtain here a general necessary and sufficient condition for the stability of general molecular ststem in the context of thomasz-Fermi-Von Weiasäcker, Thomas-Fermi-Dirac-Von Weizsaäcker, Hartree or Hartree-Fock theories.