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Seminar "Spectral Problems in Mathematical Physics"
Organizers: Maria Esteban (Paris-Dauphine), Clotilde Fermanian (Créteil), Mathieu Lewin (Cergy), Stéphane Nonnenmacher (CEA)


Gabriel Stoltz (ENPC): "A mathematical formulation of the random phase approximation for crystals"
Monday 13 May 2013, 15:15 - 16:15
Amphi Darboux


Abstract: We study the response of crystals to an external, time-dependent forcing by considering the time evolution of localized defects. The aim of this work is to extend previous results on the static (time-independent) response of crystals. The linear response allows to define the frequency-dependent polarization operator. On the other hand, the nonlinear response allows to derive, in some spatial homogenization limit, the expression of the frequency-dependent permittivity of a crystal in terms of its band structure.

This is joint work with Eric Cancès.