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Graf G.M., Solovej , J.P.
A correlation estimate with applications to quantum
systems with Coulomb interactions
(58K, TeX)
ABSTRACT. We consider some two-body operators acting on a Fock space with either
fermionic or no statistics. We prove that they are bounded below by
one-body operators which mimic exchange effects. This allows us to
compare two-body correlations of fermionic and bosonic systems with
those in Hartree-Fock, respectively Hartree theory. Applications of
the fermionic estimate yield lower bounds for the ground state energy
of jellium at high densities and of molecules with large nuclear
charges.