Geodesic
Structure of the spectrum of a~nonselfadjoint Dirac operator
Sbornik. Mathematics, Tome 214 (2023) no. 1, pp. 39-57

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For the Dirac operator with two-point boundary conditions and an arbitrary complex-valued $L_2$-integrable potential $V(x)$ the spectral problem is considered. Necessary and sufficient conditions on an entire function to be the characteristic function of such a boundary value problem are obtained. Necessary and sufficient conditions on the spectrum of the above operator are established in the case when the boundary conditions are regular. Bibliography: 16 titles.
Keywords: Dirac operator, characteristic function, spectrum. 
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A. S. Makin. Structure of the spectrum of a~nonselfadjoint Dirac operator. Sbornik. Mathematics, Tome 214 (2023) no. 1, pp. 39-57. http://geodesic.mathdoc.fr/item/SM_2023_214_1_a2/