Date
2018
Indexation documentaire
Analyse
Subject
Bohm-Aharonov magnetic potential; magnetic Hardy inequality; magnetic ring; magnetic interpolation inequality; magnetic Schrödinger operator; magnetic Keller-Lieb-Thirring inequality
Nom de la revue
Journal of Mathematical Physics
Volume
59
Numéro
5
Date de publication
2018
Nom de l'éditeur
American Institute of Physics
Auteur
Dolbeault, Jean
Esteban, Maria
Laptev, Ari
Loss, Michael
Type
Article accepté pour publication ou publié
Résumé en anglais
We study functional and spectral properties of perturbations of the magnetic Laplace operator on the circle. This operator appears when considering the restriction to the unit circle of a two-dimensional Schrödinger operator with the Bohm-Aharonov vector potential. We prove a Hardy-type inequality on the two-dimensional Euclidean space and, on the circle, a sharp interpolation inequality and a sharp Keller-Lieb-Thirring inequality.
