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arXiv · 2603.15301

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

Heinz Siedentop
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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.

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Heinz Siedentop. 2026-03-16. On Csanyi's and Arias' Functional for Ground States Energy of Multi-Particle Fermion Systems: Asymptotics. https://arxiv.org/abs/2603.15301

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