Abstract
In this paper, we define excited states for Coulomb systems in the Hartree-Fock approximation as minima of the Hartree-Fock energy on a set of constraints depending on excited states of the lower energy. There are several ways to define such a procedure: we study four of them and prove an existence result for these excited states.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Cowan, C.: The theory of atomic structure and spectra. Universes of California Press 1981
Ekeland, I.: Non-convex minimization problems. Bull. Am. Math. Soc.1, 443–474 (1979)
Lieb, E., Simon, B.: The Hartree-Fock theory for Coulomb systems. Commun. Math. Phys.53, 185–194 (1977)
Lions, P. L.: Solution of Hartree-Fock equations for Coulomb systems. Commun. Math. Phys.109, 33–97 (1987)
Author information
Authors and Affiliations
Additional information
Communicated by B. Simon
Rights and permissions
About this article
Cite this article
Leon, JF. Excited states for Coulomb systems in the Hartree-Fock approximation. Commun.Math. Phys. 120, 261–268 (1988). https://doi.org/10.1007/BF01217965
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01217965