Extended Thomas–Fermi approximation to the one-body density matrix

1999/02/17 by V. B. Soubbotin, V.B. Soubbotin, X. Viñas +1 · 43 citations
Chemistry · Mathematics · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #Density matrix #Energy (signal processing) #Function (biology) #Matrix (chemical analysis) #Probability density function #Quantum Mechanics and Non-Hermitian Physics #Semiclassical physics #Spectral Theory in Mathematical Physics #Square (algebra) #nucl-th

paper · pdf · doi:10.1016/s0375-9474(99)00558-8

published in Nuclear Physics A 665(3-4), 291-317 (Elsevier BV) · 27 pages, LateX, and 2 PostScript figures, (submitted to Nucl. Phys. A)

arxiv created 1999/02/17 · openalex publication_date 2000/02/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The one-body density matrix is derived within the Extended Thomas-Fermi approximation. This has been done starting from the Wigner-Kirkwood distribution function for a non-local single-particle potential. The links between this new approach to the density matrix with former ones available in the literature are widely discussed. The semiclassical Hartree-Fock energy at Extended Thomas-Fermi level is also obtained in the case of a non-local one-body Hamiltonian. Numerical applications are performed using the Gogny and Brink-Boeker effective interactions. The semiclassical binding energies and root mean square radii are compared with the fully quantal ones and with those obtained using the Strutinsky averaged method.

Citations

• Hartree-Fock calculations in the density matrix expansion approach
• Self-Consistent Equations Including Exchange and Correlation Effects

Cited by

• The Negele–Vautherin density-matrix expansion applied to the Gogny force
• Energy density functional on a microscopic basis