On Perturbations of the Spectrum of a One-Dimensional PT-Symmetric Periodic Schrodinger Operator Full article
| Journal |
Regular and Chaotic Dynamics
ISSN: 1560-3547 , E-ISSN: 1468-4845 |
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| Output data | Year: 2025, Volume: 30, Number: 6, Pages: 962-968 Pages count : 7 DOI: 10.1134/S1560354725060036 | ||||||||
| Tags | periodic Schr¨odinger operator, inverse spectral problem, PT-symmetry | ||||||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Russian Science Foundation | 24-11-00281 |
Abstract:
For a PT -symmetric periodic Schr¨odinger operator, which is a small perturbation of the zero potential, we calculate the spectrum and the divisor of zeroes of the Bloch function in the leading order of perturbation theory. In particular, we show that the analogs of lacunae of the Bloch spectrum are ellipses, and their focal points coincide with the branch points of the spectral curve.
Cite:
Grinevich P.G.
, Taimanov I.A.
On Perturbations of the Spectrum of a One-Dimensional PT-Symmetric Periodic Schrodinger Operator
Regular and Chaotic Dynamics. 2025. V.30. N6. P.962-968. DOI: 10.1134/S1560354725060036 WOS Scopus OpenAlex
On Perturbations of the Spectrum of a One-Dimensional PT-Symmetric Periodic Schrodinger Operator
Regular and Chaotic Dynamics. 2025. V.30. N6. P.962-968. DOI: 10.1134/S1560354725060036 WOS Scopus OpenAlex
Dates:
| Submitted: | Aug 5, 2025 |
| Published print: | Dec 1, 2025 |
| Published online: | Dec 1, 2025 |
| Accepted: | Dec 13, 2025 |
Identifiers:
| Web of science: | WOS:001628127700004 |
| Scopus: | 2-s2.0-105023530360 |
| OpenAlex: | W4416867712 |
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