A correlation estimate with applications to quantum systems with Coulomb interactions. (English) Zbl 0843.47041

Summary: 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.


47N50 Applications of operator theory in the physical sciences
81U05 \(2\)-body potential quantum scattering theory
81V10 Electromagnetic interaction; quantum electrodynamics
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