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Constructs spectral expansions for the Dirac operator with complex periodic potential, indicating new findings in quantum mechanics.
In this paper, we construct the spectral expansion for the one‐dimensional non–self‐adjoint Dirac operator with a complex‐valued periodic matrix potential in the space . To this end, we study in detail asymptotic formulas for the Bloch eigenvalues and Bloch functions that are uniform with respect to the complex quasimomentum, as well as the essential spectral singularities of .
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O. A. Veliev (2026) studied this question.
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