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

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Date
1992
Notes
Part 1 of the " Binding of atoms and stability of molecules in Hartree and Thomas-Fermi type theories" series.
Dewey
Analyse
Sujet
molecular systems
Journal issue
Communications in Partial Differential Equations
Volume
17
Number
7-8
Publication date
1992
Article pages
1051-1110
Publisher
Taylor & Francis
URI
https://basepub.dauphine.fr/handle/123456789/17313
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Author
Catto, Isabelle
Lions, Pierre-Louis
Type
Article accepté pour publication ou publié
Abstract (EN)
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.