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Excited states for Coulomb systems in the Hartree-Fock approximation
Authors:Jean-François Leon
Affiliation:(1) Service de Physique Atomique des Plasmas, Centre d'études de LIMEIL, BP 27, F-94190 Villeneuve-St Georges, France;(2) Present address: Centre d'etudes de Gramat, F-46500 Gramat, France
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.
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