RUS  ENG
Full version
JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb., 2023 Volume 214, Number 1, Pages 43–60 (Mi sm9709)

Structure of the spectrum of a nonselfadjoint Dirac operator

A. S. Makin

MIREA — Russian Technological University, Moscow, Russia

Abstract: 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.

MSC: Primary 34L40; Secondary 34A55

Received: 15.12.2021 and 31.08.2022

DOI: 10.4213/sm9709


 English version:
Sbornik: Mathematics, 2023, 214:1, 39–57

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2025