"Non UBC"@en .
"DSpace"@en .
"Lahbabi, Salma"@en .
"2019-07-31T09:03:06Z"@en .
"2019-01-31T16:54"@en .
"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 Canc\u00C3\u00A8s and Mathieu Lewin."@en .
"https://circle.library.ubc.ca/rest/handle/2429/71159?expand=metadata"@en .
"14.0"@en .
"video/mp4"@en .
""@en .
"Author affiliation: ENSEM - Universit\u00E9 Hassan II de Casablanca"@en .
"Banff (Alta.)"@en .
"10.14288/1.0380241"@en .
"eng"@en .
"Unreviewed"@en .
"Vancouver : University of British Columbia Library"@en .
"Banff International Research Station for Mathematical Innovation and Discovery"@en .
"Attribution-NonCommercial-NoDerivatives 4.0 International"@en .
"http://creativecommons.org/licenses/by-nc-nd/4.0/"@en .
"Researcher"@en .
"BIRS Workshop Lecture Videos (Banff, Alta)"@en .
"Mathematics"@en .
"Partial differential equations"@en .
"Quantum theory"@en .
"Applied mathematics"@en .
"Anderson localization in the Kohn-Sham model for disordered crystals"@en .
"Moving Image"@en .
"http://hdl.handle.net/2429/71159"@en .