On the Kohn-Sham equations with periodic background potentials

DOI10.1023/A:1022810601639zbMath1033.81079arXivcond-mat/0303518OpenAlexW1560925248MaRDI QIDQ1870251

P. Nordlander, Emil Prodan

Publication date: 11 May 2003

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0303518

zbMATH Keywords

thermodynamic limitexistence and uniquenessKohn-Sham equationsperiodic potentialsDensity functional theoryperiodic background potentials

Mathematics Subject Classification ID

Many-body theory; quantum Hall effect (81V70) Quantum equilibrium statistical mechanics (general) (82B10)

Related Items

Discretization of time-dependent quantum systems: real-time propagation of the evolution operator ⋮ On derivation of the Poisson-Boltzmann equation ⋮ On an effective equation of the reduced Hartree-Fock theory ⋮ Effective Maxwell equations from time-dependent density functional theory ⋮ Existence of periodic solutions in distribution for stochastic Newtonian systems ⋮ Disordered crystals from first principles. II: Transport coefficients ⋮ Monotonicity properties of the quantum mechanical particle density: An elementary proof ⋮ The Kohn-Sham equation for deformed crystals ⋮ A Proximal Gradient Method for Ensemble Density Functional Theory ⋮ On the reduced Hartree-Fock equations with a small Anderson type background charge distribution ⋮ Uniqueness for Dissipative Schrödinger-Poisson Systems ⋮ Differential equations of quantum mechanics