Spectral properties of hill-schrödinger operators with special distribution potentials

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Duman, Hatice (2017) Spectral properties of hill-schrödinger operators with special distribution potentials. [Thesis]

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Abstract

Let L be the Hill-Schrodinger operator considered with a singular complex-valued potential v of the form v = Q' where Q E L2oc(R) is ∏-periodic. Then for large enough n, there is a disc of radius n/4 around n2 which contains two eigenvalues A± of L considered on [∏,n] with periodic (for even n) or antiperiodic (for odd n) boundary conditions. In this thesis we consider Hill-Schrodinger operators with specific n-periodic potentials v of the form v = Q' where Q is n-periodic with Q(x) = ax + b on [∏, n). We provide asymptotics for the spectral gaps of L considered with these specific potentials.
Item Type: Thesis
Additional Information: Yükseköğretim Kurulu Tez Merkezi Tez No: 478286.
Uncontrolled Keywords: Hill operator. -- Distribution potential. -- Asymptotics. -- Hill-Schrödinger operatörü. -- Genelleştirilmiş fonksiyon potansiyel. -- Asimptotikler.
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics
Faculty of Engineering and Natural Sciences
Depositing User: IC-Cataloging
Date Deposited: 25 Apr 2018 13:38
Last Modified: 26 Apr 2022 10:17
URI: https://research.sabanciuniv.edu/id/eprint/34529

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