# Events for 02/25/2021 from all calendars

## Mathematical Physics and Harmonic Analysis Seminar

**Time: ** 11:00AM - 12:00PM

**Location: ** Zoom

**Speaker: **Salma Lahbabi, ENSEM, UHII/MSDA, UM6P

**Title: ***A mean-field model for disordered crystals*

**Abstract: **In this talk, we consider disordered quantum crystals in the reduced Hartree-
Fock (rHF) framework. The nuclei are supposed to be classical particles ar-
ranged around a reference periodic configuration. In particular, we consider a family of nuclear distributions μ(ω, ·), where ω spans a probability space Ω.
Under some assumptions on the nuclear distribution μ, the average energy per
unit volume admits a minimizer, which is a solution of the rHF equations with
short-range Yukawa interaction [2, 1]. We obtain partial results for Coulomb
interacting systems. We also study localization properties of the mean-field
Hamiltonian numerically [3].
References
[1] Éric Cancès, Salma Lahbabi, and Mathieu Lewin. Mean-field electronic
structure models for disordered materials. In Proceeding of the International
Congress on Mathematical Physics, Aalborg (Denmark), August 2012.
[2] Éric Cancès, Salma Lahbabi, and Mathieu Lewin. Mean-field models for
disordered crystals. J. math. pures appl., 100(2):241274, 2013.
[3] Salma Lahbabi. Étude mathématique de modèles quantiques et classiques
pour les matériaux aléatoires à l'échelle atomique. PhD thesis, Université de
Cergy-Pontoise, 2013.

## Spectral Theory Reading Seminar

**Time: ** 3:00PM - 4:00PM

**Location: ** Zoom

**Speaker: **Lee Fisher

**Title: **