Binding of atoms and stability of molecules in Hartree and Thomas-Fermi type theories

Journal Article · Fri Jan 01 00:00:00 EST 1993 · Communications in Partial Differential Equations; (United States)

DOI:https://doi.org/10.1080/03605309308820932· OSTI ID:6371115

Catto, I ^[1]; Lions, P L

---

1. Universite Paris-Dauphine (France)

This paper is the sequel of a previous work where the authors 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. They 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 molecular systems, this reduces to the binding of all neutral subsystems. In both cases, all other subsystems can be bound. They also show that, for the Hartree-Fock and Hartree models, this condition involves only physical subsystems. They use these reduced conditions to conclude about the stability or the binding in some particular cases. This work is also the second of a series devoted to these equations and the authors come back on the binding of neutral systems in Part 3. 18 refs.

• OSTI ID: 6371115
• Journal Information: Communications in Partial Differential Equations; (United States), Vol. 18:1-2; ISSN 0360-5302
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ATOMS
BINDING ENERGY
HARTREE-FOCK METHOD
PARTIAL DIFFERENTIAL EQUATIONS
THOMAS-FERMI MODEL
ATOMIC MODELS
MATHEMATICS
MOLECULES
NONLINEAR PROBLEMS
CALCULATION METHODS
DIFFERENTIAL EQUATIONS
ENERGY
EQUATIONS
MATHEMATICAL MODELS
661320* - Auroral
Ionospheric
& Magnetospheric Phenomena- (1992-)