Trace formulae for Schrodinger operators with complex-valued potentials on cubic lattices
File(s)
Author(s)
Korotyaev, Evgeny
Laptev, Ari
Type
Journal Article
Abstract
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.
Date Issued
2018-12-01
Date Acceptance
2018-01-22
Citation
Bulletin of Mathematical Sciences, 2018, 8 (3), pp.453-475
ISSN
1664-3615
Publisher
Springer
Start Page
453
End Page
475
Journal / Book Title
Bulletin of Mathematical Sciences
Volume
8
Issue
3
Copyright Statement
© 2018 The Author(s). This article is an open access publication distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
Identifier
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000448754800003&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Subjects
Science & Technology
Physical Sciences
Mathematics
Scattering
Trace formula
Lattice
Complex eigenvalues
Hardy spaces
DISCRETE SCHRODINGER
EIGENVALUE BOUNDS
INEQUALITIES
Publication Status
Published
Date Publish Online
2018-03-13