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Spectral properties of hill-schrödinger operators with special distribution potentials

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

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Official URL: http://risc01.sabanciuniv.edu/record=b1655706 (Table of Contents)

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
ID Code:34529
Deposited By:IC-Cataloging
Deposited On:25 Apr 2018 13:38
Last Modified:25 Apr 2018 13:38

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