Magnetic rings
File(s)DoEsLaLo copy.pdf (394.55 KB)
Accepted version
Author(s)
Dolbeault, Jean
Esteban, Maria J
Laptev, Ari
Loss, Michael
Type
Journal Article
Abstract
We study functional and spectral properties of perturbations of the operator −(∂s+ia)2 in L2( 1). 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 ℝ2 and, on 1
, a sharp interpolation inequality and a sharp Keller-Lieb-Thirring inequality.
, a sharp interpolation inequality and a sharp Keller-Lieb-Thirring inequality.
Date Issued
2018-05-01
Date Acceptance
2018-04-02
Citation
Journal of Mathematical Physics, 2018, 59 (5)
ISSN
1089-7658
Publisher
AIP Publishing
Journal / Book Title
Journal of Mathematical Physics
Volume
59
Issue
5
Copyright Statement
© 2018 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in Journal of Mathematical Physics 59, 051504 (2018), and may be found at https://dx.doi.org/10.1063/1.5022121
Identifier
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000433950300004&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Subjects
Science & Technology
Physical Sciences
Physics, Mathematical
Physics
SCHRODINGER-OPERATORS
HARDY INEQUALITIES
SPHERE
Publication Status
Published
Article Number
051504
Date Publish Online
2018-05-23