Effective Maxwell equations from time-dependent density functional theory

E. Weinan; Jianfeng Lu; Xu Yang

doi:10.1007/s10114-011-0555-0

Effective Maxwell equations from time-dependent density functional theory

E. Weinan, Jianfeng Lu, Xu Yang

Mathematics

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	339-368
Number of pages	30
Journal	Acta Mathematica Sinica, English Series
Volume	27
Issue number	2
DOIs	https://doi.org/10.1007/s10114-011-0555-0
State	Published - Feb 2011

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

Keywords

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

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10.1007/s10114-011-0555-0

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title = "Effective Maxwell equations from time-dependent density functional theory",

abstract = "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.",

keywords = "Maxwell equations, Time-dependent density functional theory, effective permittivity, electromagnetic fields",

author = "E. Weinan and Jianfeng Lu and Xu Yang",

note = "Funding Information: Received October 25, 2010, accepted November 29, 2010 Supported in part by the NSF grant DMS-0708026, grant DMS-0914336, the ONR grant N00014-01-1-0674 and the DOE grant DE-FG02-03ER25587",

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doi = "10.1007/s10114-011-0555-0",

language = "English (US)",

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T1 - Effective Maxwell equations from time-dependent density functional theory

AU - Weinan, E.

AU - Lu, Jianfeng

AU - Yang, Xu

N1 - Funding Information: Received October 25, 2010, accepted November 29, 2010 Supported in part by the NSF grant DMS-0708026, grant DMS-0914336, the ONR grant N00014-01-1-0674 and the DOE grant DE-FG02-03ER25587

PY - 2011/2

Y1 - 2011/2

N2 - 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.

AB - 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.

KW - Maxwell equations

KW - Time-dependent density functional theory

KW - effective permittivity

KW - electromagnetic fields

UR - https://www.scopus.com/pages/publications/78651424745

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U2 - 10.1007/s10114-011-0555-0

DO - 10.1007/s10114-011-0555-0

M3 - Article

AN - SCOPUS:78651424745

SN - 1439-8516

VL - 27

SP - 339

EP - 368

JO - Acta Mathematica Sinica, English Series

JF - Acta Mathematica Sinica, English Series

IS - 2

ER -

Effective Maxwell equations from time-dependent density functional theory

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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