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

• Autorzy: Strack B.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

one-dimensional Schrodinger operator; Jacobi operator; perturbation of periodic potential; essential spectrum; discrete part of the spectrum

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2010
• Tom: Vol. 30, no. 2
• Strony: 193--202
• Opis fizyczny: Bibliogr. 21 poz.

Twórcy

autor

Strack B.

• AGH University of Science and Technology Faculty of Applied Mathematics al. Mickiewicza 30, 30-059 Kraków, Poland,

Bibliografia

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