Perturbation of the Hill operator by narrow potentials

DOI10.3103/S1066369X17070015zbMath1385.34060OpenAlexW2616316222MaRDI QIDQ682319

A. R. Bikmetov, I. Kh. Khusnullin

Publication date: 14 February 2018

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x17070015

zbMATH Keywords

asymptoticsperturbationHill operator

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General spectral theory of ordinary differential operators (34L05) Perturbations of ordinary differential equations (34D10)

Cites Work

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• Perturbation of a periodic operator by a narrow potential
• Adiabatic perturbation of a periodic potential
• Levinson formula for perturbed Hill operator
• Resonances of a Hill operator, perturbed by an exponentially decreasing additive potential
• Some spectral identities for the one-dimensional Hill operator
• An inverse scattering problem for a perturbed Hill's operator
• Perturbed boundary eigenvalue problem for the Schrödinger operator on an interval
• THE DIRECT AND INVERSE SCATTERING PROBLEMS FOR THE ONE-DIMENSIONAL PERTURBED HILL OPERATOR
• A Short Proof of Zheludev's Theorem
• On the spectrum of a periodic operator with a small localized perturbation

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