Acta Mathematica Sinica, English Series

, Volume 27, Issue 2, pp 339–368 | Cite as

Effective Maxwell equations from time-dependent density functional theory

  • E Weinan
  • Jianfeng Lu
  • Xu Yang


The behavior of interacting electrons in a perfect crystal under macroscopic external electric and magnetic fields is studied. Effective Maxwell equations for the macroscopic electric and magnetic fields are derived starting from time-dependent density functional theory. Effective permittivity and permeability coefficients are obtained.


Time-dependent density functional theory Maxwell equations effective permittivity electromagnetic fields 

MR(2000) Subject Classification

81Q05 35Q61 


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Copyright information

© Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  1. 1.Department of Mathematics and Program in Applied and Computational MathematicsPrinceton UniversityPrincetonUSA
  2. 2.Beijing International Center for Mathematical Research and School of Mathematical SciencesPeking UniversityBeijingP. R. China
  3. 3.Department of Mathematics, Courant Institute of Mathematical SciencesNew York UniversityNew YorkUSA

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