The Microscopic Origin of the Macroscopic Dielectric Permittivity of Crystals: A Mathematical Viewpoint

DOI10.1007/978-3-642-21943-6_5zbMath1245.82072arXiv1010.3494OpenAlexW1621017222MaRDI QIDQ2897259

Eric Cancès, Mathieu Lewin, Gabriel Stoltz

Publication date: 10 July 2012

Published in: Numerical Analysis of Multiscale Computations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.3494

zbMATH Keywords

time-independent Schrödinger equationBorn-Oppenheimer approximationcrystal\(N\)-body Schrödinger modelHartree model

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Applications of operator theory in the physical sciences (47N50) NLS equations (nonlinear Schrödinger equations) (35Q55) Many-body theory; quantum Hall effect (81V70)

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On derivation of the Poisson-Boltzmann equation ⋮ On the modeling of interactions between polarons in quantum cristals

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