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Seminario: Ground states of Schrodinger operators with magnetic field for polyhedral bodies in the semi-classical limit

Giovedì 3 Settembre 2015, ore 16:00 - Aula 2AB45 - M. Dauge

ARGOMENTI: Seminari

SEMINARIO

Giovedì 3 Settembre 2015 alle ore 16:00 in Aula 2AB45, Monique Dauge (Université de Rennes 1) terrà un seminario dal titolo "Ground states of Schrodinger operators with magnetic field for polyhedral bodies in the semi-classical limit".

Abstract
The operators under consideration are elliptic and singularly perturbed with respect to a small positive parameter h. We investigate the first eigenpairs when h tends to 0. The presence of corners or edges in the boundary of the domain influences the asymptotics of eigenpairs. We present theoretical results in dimensions 2 and 3, and numerical results in dimension 2.

This talk is based on the papers:
[1] Virginie Bonnaillie-Noel and Monique Dauge: "Asymptotics for the low-lying eigenstates of the Schrodinger operator with magnetic field near corners", Ann. Henri Poincare 7 (2006), 899-931.
[2] Virginie Bonnaillie-Noel, Monique Dauge, Daniel Martin, Gregory Vial: "Computations of the first eigenpairs for the Schrodinger operator with magnetic field", Comput. Methods Appl. Mech. Engrg. 196 (2007), no. 37-40, 3841-3858.
[3] Virginie Bonnaillie-Noel, Monique Dauge, Nicolas Popoff: "Ground state energy of the magnetic Laplacian on corner domains", Preprint hal-00966863 and arXiv:1403.7043 (2015).

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