EDP : Louis Garrigue (Université Paris Dauphine) : Unique continuation for the Hohenberg-Kohn theorem

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EDP : Louis Garrigue (Université Paris Dauphine) : Unique continuation for the Hohenberg-Kohn theorem

18 avril 2019 / 14:00 - 15:00

Density functional theory is a very active field of research, and is of great importance in today’s science. It is founded by the Hohenberg-Kohn theorem, a strinking result stating that all the information of a quantum mechanical system is contained in its ground-state one-body density only. In 1983, Lieb remarked that the rigorous proof relies on a unique continuation property for many-body (magnetic) Schrödinger operators. We will introduce the Hohenberg-Kohn theorem, show why it reduces to a strong unique continuation problem, and explain how our Carleman estimate involving fractional Laplacians solves it. Based on https://arxiv.org/abs/1901.03207

EDP : Louis Garrigue (Université Paris Dauphine) : Unique continuation for the Hohenberg-Kohn theorem

Détails

Date :
18 avril 2019
Heure :
14:00 - 15:00
Catégorie d’évènement:

Lieu

Bâtiment Sophie Germain, salle G210

Organisateurs

Pierre Gabriel
Tahar Boulezaoud