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/10.1080/03605309308820935· OSTI ID:6215122

Catto, I; Lions, P L ^[1]

---

1. Universite Paris-Dauphine (France)

This paper is the third of a series devoted to the study of the binding of atoms, molecules and ions and of the stability of general molecular systems including molecular ions, in the context of Hartree and Thomas-Fermi type theories. For Thomas-Fermi-von Weizsaecker or Thomas-Fermi-Dirac-von Weizsaecker models, it is proven here that neutral systems can be bound and in view of the results shown in the preceding parts this yields the stability of arbitrary molecules (general neutral molecular systems). For the Hartree and Hartree-Fock models, it is proven that neutral planar systems can be bound and this yields the stability of arbitrary tetraatomic molecules for instance. Various variants and extensions are also considered. 24 refs.

• OSTI ID: 6215122
• Journal Information: Communications in Partial Differential Equations; (United States), Vol. 18:3-4; ISSN 0360-5302
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Pa
BINDING ENERGY
ATOMIC MODELS
THOMAS-FERMI MODEL
ATOMS
HARTREE-FOCK METHOD
IONS
MOLECULAR IONS
MOLECULES
PARTIAL DIFFERENTIAL EQUATIONS
CALCULATION METHODS
CHARGED PARTICLES
DIFFERENTIAL EQUATIONS
ENERGY
EQUATIONS
MATHEMATICAL MODELS
664000* - Atomic & Molecular Physics- (1992-)
662200 - Specific Theories & Interaction Models
Particle Systematics- (1992-)