Effective Maxwell Equations from Time-dependent Density Functional Theory

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 p...

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Bibliographic Details
Published inActa mathematica Sinica. English series Vol. 27; no. 2; pp. 339 - 368
Main Authors Weinan, E, Lu, Jianfeng, Yang, Xu
Format Journal Article
LanguageEnglish
Published Heidelberg Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 01.02.2011
Springer Nature B.V
Subjects
Analysis
Computational mathematics
Crystals
Density functional theory
Dielectric constant
Electromagnetism
Electrons
Magnetic fields
Magnetic permeability
Mathematical analysis
Mathematics
Mathematics and Statistics
Maxwell equation
Permeability
Permittivity
Studies
密度泛函理论
时间相关
有效介电常数
渗透系数
相互作用
磁场方程
结晶行为
麦克斯韦方程组
81Q05
Time-dependent density functional theory
effective permittivity
electromagnetic fields
Maxwell equations
35Q61
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Summary: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.
Bibliography:Time-dependent density functional theory, Maxwell equations, effective permittivity, electromagnetic fields
11-2039/O1
O441
O641.121
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-011-0555-0