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

Heinz Siedentop

Abstract

We show that Csanyi's and Arias' energy functional of the reduced one-particle density matrix is bounded from below by the Müller 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.

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 Müller 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.
Paper Structure (1 section, 2 theorems, 17 equations)

This paper contains 1 section, 2 theorems, 17 equations.

Table of Contents

  1. Introduction

Key Result

Lemma 1

Assume $\mu,\lambda\in[0,1]$. Then

Theorems & Definitions (5)

  • Lemma 1
  • proof
  • Theorem 1
  • proof
  • proof : Proof of Formula \ref{['Korrolar-ca']}