Existence of minimizers for Kohn–Sham within the local spin density approximation

DOI10.1088/0951-7715/28/1/57zbMath1307.35243arXiv1404.5040OpenAlexW1982999312MaRDI QIDQ5497049

David Gontier

Publication date: 2 February 2015

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.5040

zbMATH Keywords

magnetic fieldexistence of minimizersconcentration-compactnessKohn-Sham

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) PDEs in connection with quantum mechanics (35Q40) Molecular physics (81V55)

Related Items (6)

Hartree-Fock theory with a self-generated magnetic field ⋮ Density functional theory for two-dimensional homogeneous materials with magnetic fields ⋮ Spectral approximation scheme for a hybrid, spin-density Kohn-Sham density-functional theory in an external (nonuniform) magnetic field and a collinear exchange-correlation energy ⋮ Ground state solutions to Hartree–Fock equations with magnetic fields ⋮ Dissociation limit in Kohn-Sham density functional theory ⋮ Symmetry breaking and the generation of spin ordered magnetic states in density functional theory due to Dirac exchange for a hydrogen molecule

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