@inproceedings{547119d000bc4de8b7fe4880d41853e0,
title = "The microscopic origin of the macroscopic dielectric permittivity of crystals: A mathematical viewpoint",
abstract = "The purpose of this paper is to provide a mathematical analysis of the Adler-Wiser formula relating the macroscopic relative permittivity tensor to the microscopic structure of the crystal at the atomic level. The technical level of the presentation is kept at its minimum to emphasize the mathematical structure of the results. We also briefly review some models describing the electronic structure of finite systems, focusing on density operator based formulations, as well as the Hartree model for perfect crystals or crystals with a defect.",
author = "{\'E}ric Canc{\`e}s and Mathieu Lewin and Gabriel Stoltz",
note = "Publisher Copyright: {\textcopyright} Springer-Verlag Berlin Heidelberg 2012.; Workshop on Numerical Analysis and Multiscale Computations, 2009 ; Conference date: 06-12-2009 Through 11-12-2009",
year = "2012",
month = jan,
day = "1",
doi = "10.1007/978-3-642-21943-6\_5",
language = "English",
isbn = "9783642219429",
series = "Lecture Notes in Computational Science and Engineering",
publisher = "Springer Verlag",
pages = "87--125",
editor = "Olof Runborg and Bjorn Engquist and Tsai, \{Yen-Hsi R.\}",
booktitle = "Numerical Analysis of Multiscale Computations - Proceedings of a Winter Workshop at the Banff International Research Station 2009",
}