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Spectral gap asymptotics of one-dimensional Schrödinger operators with singular periodic potentials

Djakov, Plamen Borissov and Mityagin, Boris (2009) Spectral gap asymptotics of one-dimensional Schrödinger operators with singular periodic potentials. In: International Conference on Linear and Non-Linear Theory of Generalized Functions and its Applications, Bedlewo, Poland

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Abstract

By using quasi-derivatives we develop a Fourier method for studying the spectral properties of one-dimensional Schrodinger operators with periodic singular potentials. Our results reveal the close relationship between the smoothness of the potential and spectral gap asymptotics under the a priori assumption [image omitted] This extends and strengthens similar results proved in the classical case [image omitted].
Item Type: Papers in Conference Proceedings
Uncontrolled Keywords: Schrodinger operator; singular periodic potential; spectral gaps
Subjects: Q Science > QA Mathematics > QA299.6-433 Analysis
Divisions: Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics
Depositing User: Plamen Borissov Djakov
Date Deposited: 08 Oct 2009 11:50
Last Modified: 26 Apr 2022 08:51
URI: https://research.sabanciuniv.edu/id/eprint/12137

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