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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.

MSC:

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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