Effective Maxwell equations from time-dependent density functional theory

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2011-01-20

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

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10.1007/s10114-011-0555-0

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E, W, J Lu and X Yang (2011). Effective Maxwell equations from time-dependent density functional theory. Acta Mathematica Sinica, English Series, 27(2). pp. 339–368. 10.1007/s10114-011-0555-0 Retrieved from https://hdl.handle.net/10161/14065.

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Lu

Jianfeng Lu

Professor of Mathematics

Jianfeng Lu is an applied mathematician interested in mathematical analysis and algorithm development for problems from computational physics, theoretical chemistry, materials science, machine learning, and other related fields.

More specifically, his current research focuses include:
High dimensional PDEs; generative models and sampling methods; control and reinforcement learning; electronic structure and many body problems; quantum molecular dynamics; multiscale modeling and analysis.


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