On a Novel Effective Equation of the Reduced Hartree-Fock Theory

Autor: Chenn, Ilias, Mayboroda, Svitlana, Wang, Wei, Zhang, Shiwen

We show that there is an one-to-one correspondence between solutions to the Poisson-Landscape equations and the reduced Hartree-Fock equations in the semi-classical limit at low temperature. Moreover, we prove that the difference between the two corr

Externí odkaz: http://arxiv.org/abs/2106.13887

Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.

Etude mathématique de modèles quantiques et classiques pour les matériaux aléatoires à l'échelle atomique

Autor: Lahbabi, Salma

Publikováno v: Mathématiques générales [math.GM]. Université de Cergy Pontoise, 2013. Français. ⟨NNT : 2013CERG0628⟩
Mathematical Physics [math-ph]. Université de Cergy Pontoise, 2013. English. ⟨NNT : ⟩
Mathematical Physics [math-ph]. Université de Cergy Pontoise, 2013. English

The contributions of this thesis concern two topics.The first part is dedicated to the study of mean-field models for the electronic structure of materials with defects. In Chapter~ref{chap:ergodic_crystals}, we introduce and study the reduced Hartre

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::3cf1e0a9c28511f907045bd10e9fc24c
https://tel.archives-ouvertes.fr/tel-00903462

DERIVATION OF PEKAR'S POLARONS FROM A MICROSCOPIC MODEL OF QUANTUM CRYSTAL.

Autor: LEWIN, MATHIEU, ROUGERIE, NICOLAS

Publikováno v: SIAM Journal on Mathematical Analysis; 2013, Vol. 45 Issue 3, p1267-1301, 35p

Derivation of Pekar's Polarons from a Microscopic Model of Quantum Crystals

Autor: Lewin, Mathieu, Rougerie, Nicolas

Publikováno v: SIAM J. Math. Anal. 45, 3 (2013) 1267--1301

A polaron is an electron interacting with a polar crystal, which is able to form a bound state by using the distortions of the crystal induced by its own density of charge. In this paper we derive Pekar's famous continuous model for polarons (in whic

Externí odkaz: http://arxiv.org/abs/1108.5931