Opuscula Mathematica
Opuscula Math. 30, no. 2 (), 193-202
http://dx.doi.org/10.7494/OpMath.2010.30.2.193
Opuscula Mathematica

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


Abstract. 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 eigenvalues are given.
Keywords: one-dimensional Schrödinger operator, Jacobi operator, perturbation of periodic potential, essential spectrum, discrete part of the spectrum.
Mathematics Subject Classification: 47B39, 47B37.
Cite this article as:
Beata Strack, A note on the discrete Schrödinger operator with a perturbed periodic potential, Opuscula Math. 30, no. 2 (2010), 193-202, http://dx.doi.org/10.7494/OpMath.2010.30.2.193
 
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ISSN 1232−9274, e-ISSN 2300−6919, DOI http://dx.doi.org/10.7494/OpMath
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