title   
  

Spectral gaps of Schrödinger operators with periodic singular potentials

Djakov, Plamen Borissov and Mityagin, Boris Samuel (2009) Spectral gaps of Schrödinger operators with periodic singular potentials. Dynamics of Partial Differential Equations, 6 (2). pp. 95-165. ISSN 1548-159X

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Abstract

By using quasi-derivatives we develop a Fourier method for studying the spectral gaps of one dimensional Schrodinger operators with periodic singular potentials v. Our results reveal a close relationship between smoothness of potentials and spectral gap asymptotics under a priori assumption v is an element of H-loc(-1)(R). They extend and strengthen similar results proved in the classical case v is an element of L-loc(2)(R).

Item Type:Article
Uncontrolled Keywords:Schrodinger operator; singular periodic potential; spectral gaps
Subjects:Q Science > QA Mathematics > QA299.6-433 Analysis
ID Code:12252
Deposited By:Plamen Borissov Djakov
Deposited On:01 Nov 2009 17:18
Last Modified:25 May 2011 14:08

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