Testing one-body density functionals on a solvable model

Abstract

There are several physically motivated density matrix functionals in the literature, built from the knowledge of the natural orbitals and the occupation numbers of the one-body reduced density matrix. With the help of the equivalent phase-space formalism, we thoroughly test some of the most popular of those functionals on a completely solvable model.

Latex, 16 pages, 4 figures

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• Reduced Density Matrix Functional for Many-Electron Systems
• Mueller's Exchange-Correlation Energy in Density-Matrix-Functional Theory
• Hooke's law correlation in two-electron systems
• The lowest excited configuration of harmonium
• Proposed definitions of the correlation energy density from a Hartree-Fock starting point: The two-electron Moshinsky model atom as an exactly solvable model
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Cited by in corpus (9)

• Diverging exchange force and form of the exact density matrix functional
• Entanglement and the Born-Oppenheimer approximation in an exactly solvable quantum many-body system
• Reduced density-matrix functionals applied to the Hubbard dimer
• Quasipinning and selection rules for excitations in atoms and molecules
• Reduced Density Matrix Functional Theory for Superconductors
• Analytic solutions of topologically disjoint systems
• Adaptive cluster approximation for reduced density-matrix functional theory
• Exact wave functions for concentric two-electron systems
• Physical Wigner functions