On the spectrum of non-selfadjoint Dirac operators with two-point boundary conditions

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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

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