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{Korotyaev:2018:10.1007/s13373-018-0117-1,
author = {Korotyaev, E and Laptev, A},
doi = {10.1007/s13373-018-0117-1},
journal = {Bulletin of Mathematical Sciences},
pages = {453--475},
title = {Trace formulae for Schrodinger operators with complex-valued potentials on cubic lattices},
url = {http://dx.doi.org/10.1007/s13373-018-0117-1},
volume = {8},
year = {2018}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - We consider a class of Schrödinger operators with complex decaying potentials on the lattice. Using some classical results from complex analysis we obtain some trace formulae and use them to estimate zeros of the Fredholm determinant in terms of the potential.
AU  - Korotyaev,E
AU  - Laptev,A
DO  - 10.1007/s13373-018-0117-1
EP  - 475
PY  - 2018///
SN  - 1664-3615
SP  - 453
TI  - Trace formulae for Schrodinger operators with complex-valued potentials on cubic lattices
T2  - Bulletin of Mathematical Sciences
UR  - http://dx.doi.org/10.1007/s13373-018-0117-1
UR  - http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000448754800003&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
UR  - http://hdl.handle.net/10044/1/64650
VL  - 8
ER  -
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