Correlated and idempotent Dirac first-order density matrices with identical diagonal fermion density: a route to extract a one-body potential energy in TDDFT

DOI10.1007/s10910-009-9592-7zbMath1305.81141OpenAlexW2052332007MaRDI QIDQ848179

S. Suhai, Thomas A. Niehaus, Norman H. March

Publication date: 2 March 2010

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-009-9592-7

zbMATH Keywords

linear response theorytime-dependent density functional theoryMoshinsky atom

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Atomic physics (81V45) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Cites Work

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• First-order density matrix as a functional of the ground-state electron density for harmonic confinement of two electrons which also interact harmonically
• Relation Between Dirac and Canonical Density Matrices, with Applications to Imperfections in Metals
• Approximate solutions of the density matrix equation for a local average field
• Dynamical generalization of a solvable family of two-electron model atoms with general interparticle repulsion
• A Simplification of the Hartree-Fock Method
• Quantum Theory of Many-Particle Systems. I. Physical Interpretations by Means of Density Matrices, Natural Spin-Orbitals, and Convergence Problems in the Method of Configurational Interaction
• Pair function at coincidence and ground-state energy for interacting systems of two fermions with isotropic harmonic confinement and antiparallel spins

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