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On the spectrum of non-self-adjoint Dirac operators with quasi-periodic boundary conditions

Part of: Ordinary differential operators General theory in ordinary differential equations

Published online by Cambridge University Press:  26 May 2022

Alexander Makin Open the ORCID record for Alexander Makin [Opens in a new window]
Alexander Makin*
Affiliation:
Russian Technological University, Prospect Vernadskogo 78, Moscow 119454, Russia ([email protected])
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Abstract

In this paper, we consider non-self-adjoint Dirac operators on a finite interval with complex-valued potentials and quasi-periodic boundary conditions. Necessary and sufficient conditions for a set of complex numbers to be the spectrum of the indicated problem are established.

Keywords

Dirac operatorinverse problemquasi-periodic boundary conditionsspectrum

MSC classification

Primary: 34L40: Particular operators (Dirac, one-dimensional Schrödinger, etc.)
Secondary: 34A55: Inverse problems
Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 153 , Issue 4 , August 2023 , pp. 1099 - 1117
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Copyright
Copyright © The Author(s), 2022. Published by Cambridge University Press on behalf of The Royal Society of Edinburgh

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