A note on the discrete Schrödinger operator with a perturbed periodic potential

The aim of this paper is to study the spectrum of the one-dimensional discrete Schrödinger operator with a perturbed periodic potential. We obtain natural conditions under which this perturbation preserves the essential spectrum of the considered operator. Conditions on the number of isolated eigenv...

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Bibliographic Details
Main Author: Beata Strack
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2010-01-01
Series:Opuscula Mathematica
Subjects:
Online Access:http://www.opuscula.agh.edu.pl/vol30/2/art/opuscula_math_3013.pdf