Imperial College London
Professor Ari Laptev

ProfessorAriLaptev

Faculty of Natural Sciences, Department of Mathematics

Chair in Pure Mathematics
 
 
 
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Contact

 

+44 (0)20 7594 8499a.laptev Website

 
 
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Assistant

 

Mr David Whittaker +44 (0)20 7594 8481

 
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Location

 

680Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Dolbeault:2018:10.1063/1.5022121,
author = {Dolbeault, J and Esteban, MJ and Laptev, A and Loss, M},
doi = {10.1063/1.5022121},
journal = {Journal of Mathematical Physics},
title = {Magnetic rings},
url = {http://dx.doi.org/10.1063/1.5022121},
volume = {59},
year = {2018}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - 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 2 and, on   1, a sharp interpolation inequality and a sharp Keller-Lieb-Thirring inequality.
AU  - Dolbeault,J
AU  - Esteban,MJ
AU  - Laptev,A
AU  - Loss,M
DO  - 10.1063/1.5022121
PY  - 2018///
SN  - 1089-7658
TI  - Magnetic rings
T2  - Journal of Mathematical Physics
UR  - http://dx.doi.org/10.1063/1.5022121
UR  - http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000433950300004&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
UR  - http://hdl.handle.net/10044/1/60612
VL  - 59
ER  -
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