Binding of atoms and stability of molecules in Hartree and Thomas-Fermi type theories. Part 4: Binding of neutral systems for the Hartree model

Journal Article · Fri Jan 01 04:00:00 EST 1993 · Communications in Partial Differential Equations; (United States)

DOI:https://doi.org/10.1080/03605309308820967· OSTI ID:5637592

Catto, I; Lions, P L ^[1]

---

1. Universite Paris-Dauphine, Paris (France)

This paper is the fourth of a series devoted to the study of the stability of general molecular systems in Thomas-Fermi or Hartree type models. In the preceding part, the authors proved the binding of arbitrary neutral systems for Thomas-Fermi type theories and of planar neutral systems for the Hartree model. In this part, they manage to get rid of this restriction and thus prove the binding and the stability of arbitrary neutral systems for the Hartree model. 23 refs.

• OSTI ID: 5637592
• Journal Information: Communications in Partial Differential Equations; (United States), Journal Name: Communications in Partial Differential Equations; (United States) Vol. 18:7-8; ISSN 0360-5302; ISSN CPDIDZ
• Country of Publication: United States
• Language: English

Related Subjects

664000* -- Atomic & Molecular Physics-- (1992-)
74 ATOMIC AND MOLECULAR PHYSICS
ATOMIC MODELS
ATOMS
CALCULATION METHODS
DIFFERENTIAL EQUATIONS
EQUATIONS
HARTREE-FOCK METHOD
INTERMOLECULAR FORCES
MATHEMATICAL MODELS
MOLECULES
NEUTRAL PARTICLES
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLES
STABILITY
THOMAS-FERMI MODEL