Trace formulae for Schrodinger operators with complex-valued potentials on cubic lattices

File Description SizeFormat 
Korotyaev-Laptev2018_Article_TraceFormulaeForSchrödingerOpe.pdfPublished version479.8 kBAdobe PDFView/Open
Title: Trace formulae for Schrodinger operators with complex-valued potentials on cubic lattices
Authors: Korotyaev, E
Laptev, A
Item 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.
Issue Date: 1-Dec-2018
Date of Acceptance: 22-Jan-2018
URI: http://hdl.handle.net/10044/1/64650
DOI: https://dx.doi.org/10.1007/s13373-018-0117-1
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.
Keywords: Science & Technology
Physical Sciences
Mathematics
Scattering
Trace formula
Lattice
Complex eigenvalues
Hardy spaces
DISCRETE SCHRODINGER
EIGENVALUE BOUNDS
INEQUALITIES
Publication Status: Published
Online Publication Date: 2018-03-13
Appears in Collections:Pure Mathematics
Mathematics
Faculty of Natural Sciences



Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

Creative Commons