Asymptotics of spectral gaps of hill and 1D dirac operators

Warning The system is temporarily closed to updates for reporting purpose.

Anahtarcı, Berkay (2014) Asymptotics of spectral gaps of hill and 1D dirac operators. [Thesis]

[thumbnail of BerkayAnahtarci_10061692.pdf] PDF

Download (349kB)


Let L be the Hill operator or the one-dimensional Dirac operator with π-periodic potential considered on the real line R. The spectrum of L has a band-gap structure, that is, the intervals of continuous spectrum alternate with spectral gaps. The endpoints of these gaps are eigenvalues of the same di erential operator L but considered on the interval [0; π] with periodic or antiperiodic boundary conditions. In this thesis considering the Hill and the one-dimensional periodic Dirac operators, we provide precise asymptotics of the spectral gaps in case of speci c potentials that are linear combinations of two exponential terms.
Item Type: Thesis
Uncontrolled Keywords: Hill operators. -- Dirac operators. -- Asymptotics. -- Hill operatörü-- 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: 07 Apr 2016 14:21
Last Modified: 26 Apr 2022 10:06

Actions (login required)

View Item
View Item