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 |
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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 |