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On the spectrum of non-selfadjoint Dirac operators with two-point boundary conditions
- Authors: Makin A.S.1
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Affiliations:
- Peoples’ Friendship University of Russia
- Issue: Vol 60, No 2 (2024)
- Pages: 157-174
- Section: ORDINARY DIFFERENTIAL EQUATIONS
- URL: https://ruspoj.com/0374-0641/article/view/649553
- DOI: https://doi.org/10.31857/S0374064124020024
- EDN: https://elibrary.ru/QOXJKB
- ID: 649553
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Abstract
We consider spectral problem for the Dirac operator with arbitrary two-point boundary conditions and any square integrable potential . The necessary and sufficient conditions are established that an entire function must satisfy in order to be a characteristic determinant of the specified operator. In the case of irregular boundary conditions, conditions are found under which a set of complex numbers is the spectrum of the problem under consideration.
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About the authors
A. S. Makin
Peoples’ Friendship University of Russia
Author for correspondence.
Email: alexmakin@yandex.ru
Russian Federation, Moscow
References
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