Magnetic rings
Dolbeault, Jean; Esteban, Maria J.; Laptev, Ari; Loss, Michael (2018), Magnetic rings, Journal of Mathematical Physics, 59, 5. 10.1063/1.5022121
Type
Article accepté pour publication ou publiéDate
2018Journal name
Journal of Mathematical PhysicsVolume
59Number
5Publisher
American Institute of Physics
Publication identifier
Metadata
Show full item recordAuthor(s)
Dolbeault, Jean
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Esteban, Maria J.

CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Laptev, Ari
Loss, Michael
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
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.Subjects / Keywords
Bohm-Aharonov magnetic potential; magnetic Hardy inequality; magnetic ring; magnetic interpolation inequality; magnetic Schrödinger operator; magnetic Keller-Lieb-Thirring inequalityRelated items
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