Magnetic rings
Date
2018Dewey
AnalyseSujet
Bohm-Aharonov magnetic potential; magnetic Hardy inequality; magnetic ring; magnetic interpolation inequality; magnetic Schrödinger operator; magnetic Keller-Lieb-Thirring inequalityJournal issue
Journal of Mathematical PhysicsVolume
59Number
5Publication date
2018Publisher
American Institute of PhysicsCollections
Metadata
Show full item recordAuthor
Dolbeault, Jean
60 CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Esteban, Maria J.
60 CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Laptev, Ari
Loss, Michael
60 CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Type
Abstract (EN)
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.Related items
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