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

Catto, I; Lions, P L

doi:10.1080/03605309308820967

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

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Abstract

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.

Authors:

Catto, I; Lions, P L ^[1]

Universite Paris-Dauphine, Paris (France)

Publication Date:: Fri Jan 01 00:00:00 EST 1993

OSTI Identifier:: 5637592

Resource Type:: Journal Article

Journal Name:: Communications in Partial Differential Equations; (United States)

Additional Journal Information:: Journal Volume: 18:7-8; Journal ID: ISSN 0360-5302

Country of Publication:: United States

Language:: English

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

Citation Formats


                    Catto, I, and Lions, P L. Binding of atoms and stability of molecules in Hartree and Thomas-Fermi type theories. Part 4: Binding of neutral systems for the Hartree model.  United States: N. p., 1993. 
        Web.  doi:10.1080/03605309308820967.

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                    Catto, I, & Lions, P L. Binding of atoms and stability of molecules in Hartree and Thomas-Fermi type theories. Part 4: Binding of neutral systems for the Hartree model.  United States.  https://doi.org/10.1080/03605309308820967

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                    Catto, I, and Lions, P L. 1993.  
        "Binding of atoms and stability of molecules in Hartree and Thomas-Fermi type theories. Part 4: Binding of neutral systems for the Hartree model".  United States.  https://doi.org/10.1080/03605309308820967.

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@article{osti_5637592,

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

  author       = {Catto, I and Lions, P L},

  abstractNote = {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.},

  doi          = {10.1080/03605309308820967},

  url          = {https://www.osti.gov/biblio/5637592},
  journal      = {Communications in Partial Differential Equations; (United States)},

  issn         = {0360-5302},

  number       = ,

  volume       = 18:7-8,

  place        = {United States},

  year         = {Fri Jan 01 00:00:00 EST 1993},

  month        = {Fri Jan 01 00:00:00 EST 1993}

}

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