title
  

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]

[img]
Preview
PDF - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
341Kb

Official URL: http://risc01.sabanciuniv.edu/record=b1606667 (Table of Contents)

Abstract

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
ID Code:29275
Deposited By:IC-Cataloging
Deposited On:07 Apr 2016 14:21
Last Modified:25 Mar 2019 17:14

Repository Staff Only: item control page