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PreprintCC BY 4.0arXiv

On the Finite-Zone PT-symmetric Dirac Operators

Abstract

In this paper we find conditions on the PT-symmetric non-self-adjoint Dirac operator L(Q) with matrix-valued coefficients Q whose entries are PT-symmetric periodic functions for which the number of gaps in the real part of its spectrum is finite.

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BibTeX
@misc{veliev2026finitezone,
  title = {{On the Finite-Zone PT-symmetric Dirac Operators}},
  author = {O. A. Veliev},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.23660},
  eprint = {2609.23660},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.23660},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - On the Finite-Zone PT-symmetric Dirac Operators
AU  - O. A. Veliev
PY  - 2026
DA  - 2026/09/20
PB  - arXiv
DO  - 10.48550/arxiv.2609.23660
UR  - https://arxiv.org/abs/2609.23660
AB  - In this paper we find conditions on the PT-symmetric non-self-adjoint Dirac operator L(Q) with matrix-valued coefficients Q whose entries are PT-symmetric periodic functions for which the number of gaps in the real part of its spectrum is finite.
ER  -