On Csanyi's and Arias' Functional for Ground States Energy of Multi-Particle Fermion Systems: Asymptotics

Abstract

We show that Csanyi's and Arias' energy functional of the reduced one-particle density matrix is bounded from below by the M\"uller functional and bounded from above by the Hartree-Fock functional. We use this fact to derive an asymptotic expansion of the ground state energy of this functional which agrees with the quantum energy to third order.