Non UBC
DSpace
Lahbabi, Salma
2019-07-31T09:03:06Z
2019-01-31T16:54
In this talk, we consider disordered quantum crystals in the simplest Kohn-Sham model with no exchange-correlation, that is, the reduced Hartree-Fock (rHF) framework. The nuclei are supposed to be classical particles arranged around a reference periodic configuration. In particular, we consider a family of nuclear distributions $\mu(\omega,\cdot)$, where $\omega$ spans a probability space $\Omega$. Under some assumptions on the nuclear distribution $\mu$, the average energy per unit volume admits a minimizer, which is a solution of the self-consistent rHF equations. We mainly deal with short-range Yukawa interaction and obtain partial results for Coulomb systems. We also study localization properties of the mean-field Hamiltonian numerically. Joint works with Eric CancÃ¨s and Mathieu Lewin.
https://circle.library.ubc.ca/rest/handle/2429/71159?expand=metadata
14.0
video/mp4
Author affiliation: ENSEM - Université Hassan II de Casablanca
Banff (Alta.)
10.14288/1.0380241
eng
Unreviewed
Vancouver : University of British Columbia Library
Banff International Research Station for Mathematical Innovation and Discovery
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
Researcher
BIRS Workshop Lecture Videos (Banff, Alta)
Mathematics
Partial differential equations
Quantum theory
Applied mathematics
Anderson localization in the Kohn-Sham model for disordered crystals
Moving Image
http://hdl.handle.net/2429/71159