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Binding of atoms and stability of molecules in Hartree and Thomas-Fermi type theories. Part 2 : Stability is equivalent to the binding of neutral subsystems

Catto, Isabelle; Lions, Pierre-Louis (1993), Binding of atoms and stability of molecules in Hartree and Thomas-Fermi type theories. Part 2 : Stability is equivalent to the binding of neutral subsystems, Communications in Partial Differential Equations, 18, 1-2, p. 305-354. 10.1080/03605309308820932

Type
Article accepté pour publication ou publié
Date
1993
Journal name
Communications in Partial Differential Equations
Volume
18
Number
1-2
Publisher
Taylor & Francis
Pages
305-354
Publication identifier
10.1080/03605309308820932
Metadata
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Author(s)
Catto, Isabelle cc

Lions, Pierre-Louis
Abstract (EN)
This paper is the sequel of a previous work where we showed a general necessary and sufficient condition for the stability of an arbitrary molecular system (possibly ionized) in the framework of Hartree or Thomas-Fermi type theories. This condition, roughly speaking, meant that certain particular subsystems have to be bound. We show here in particular that this condition reduces for general molecular system with nonnegative excess charge to the binding of all subsystems with the same property. For neutral inolecular systems, this reduces to the binding of all neutral subsystems. In both cases, all other subsystems can be bound. We also show that, for the Hartree-Fock and Hartree models, this condition involves only “physical” sulxystems We use these reduced conditions to conclude allout the stability or the binding in some particular cases. This work 1s also the second of a series devoted to these equations and we shall come back on the binding of neutral systems in Part 3.
Subjects / Keywords
molecular system

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