Effective Maxwell equations from time-dependent density functional theory

DOI10.1007/s10114-011-0555-0zbMath1210.81030arXiv1010.4912OpenAlexW2109161494MaRDI QIDQ2430904

Xu Yang, Jian-feng Lu, E. Weinan

Publication date: 8 April 2011

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.4912

zbMATH Keywords

Maxwell equationselectromagnetic fieldstime-dependent density functional theoryeffective permittivity

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Maxwell equations (35Q61)

Related Items

Multiscale modeling and computation of optically manipulated nano devices ⋮ On derivation of the Poisson-Boltzmann equation ⋮ A mathematical formulation of the random phase approximation for crystals ⋮ Mathematical theory of solids: from quantum mechanics to continuum models ⋮ Differential equations of quantum mechanics

Cites Work

• Unnamed Item
• Unnamed Item
• Asymptotic analysis of quantum dynamics in crystals: the Bloch-Wigner transform, Bloch dynamics and Berry phase
• The electronic structure of smoothly deformed crystals: Wannier functions and the Cauchy-Born Rule
• The dielectric permittivity of crystals in the reduced Hartree-Fock approximation
• Existence of minimizers for Kohn-Sham models in quantum chemistry
• The Thomas-Fermi-von Weizsäcker theory of atoms and molecules
• The Thomas-Fermi theory of atoms, molecules and solids
• From molecular models to continuum mechanics
• On the Kohn-Sham equations with periodic background potentials
• Thomas-fermi and related theories of atoms and molecules
• Electronic structure of smoothly deformed crystals: Cauchy-born rule for the nonlinear tight-binding model
• The Kohn-Sham equation for deformed crystals

This page was built for publication: Effective Maxwell equations from time-dependent density functional theory