Abstract:
The Dirac–Fock equations are the relativistic analogue of the well-known Hartree–Fock equations. They are used in computational chemistry, and yield results on the inner-shell electrons of heavy atoms that are in very good agreement with experimental data. By a variational method, we prove the existence of infinitely many solutions of the Dirac–Fock equations “without projector”, for Coulomb systems of electrons in atoms, ions or molecules, with Z≤ 124, N≤ 41, N≤ Z. Here, Z is the sum of the nuclear charges in the molecule, N is the number of electrons.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
Author information
Authors and Affiliations
Additional information
Received: 15 December 1997 / Accepted: 29 June 1998
Rights and permissions
About this article
Cite this article
Esteban, M., Séré, E. Solutions of the Dirac–Fock Equations for Atoms¶and Molecules. Comm Math Phys 203, 499–530 (1999). https://doi.org/10.1007/s002200050032
Issue Date:
DOI: https://doi.org/10.1007/s002200050032