The Hartree-Fock Theory for Coulomb Systems

  • Elliott H. Lieb
  • Barry Simon
Chapter

Abstract

For neutral atoms and molecules and positive ions and radicals, we prove the existence of solutions of the Hartree-Fock equations which minimize the Hartree-Fock energy. We establish some properties of the solutions including exponential falloff.

Keywords

Helium Atom Trial Function Pauli Principle Slater Determinant Coulomb System 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Elliott H. Lieb
    • 1
  • Barry Simon
    • 2
  1. 1.Departments of Mathematics and PhysicsPrinceton UniversityPrincetonUSA
  2. 2.Department of PhysicsYeshiva UniversityNew YorkUSA

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