On Perturbations of the Spectrum of a One-Dimensional PT-Symmetric Periodic Schrodinger Operator | Sciact - Система учета научной деятельности ИМ СО РАН

On Perturbations of the Spectrum of a One-Dimensional PT-Symmetric Periodic Schrodinger Operator Научная публикация

Журнал

Regular and Chaotic Dynamics
ISSN: 1560-3547 , E-ISSN: 1468-4845

Вых. Данные

Год: 2025, Том: 30, Номер: 6, Страницы: 962-968 Страниц : 7 DOI: 10.1134/S1560354725060036

Ключевые слова

periodic Schr¨odinger operator, inverse spectral problem, PT-symmetry

Авторы

Grinevich P.G. ^2,3,4 , Taimanov I.A. ¹

Организации

1	Novosibirsk State University
2	Steklov Mathematical Institute of Russian Academy of Sciences
3	L. D. Landau Institute for Theoretical Physics of Russian Academy of Sciences
4	Lomonosov Moscow State University

Информация о финансировании (1)

Российский научный фонд

24-11-00281

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.

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

Поступила в редакцию:	5 авг. 2025 г.
Опубликована в печати:	1 дек. 2025 г.
Опубликована online:	1 дек. 2025 г.
Принята к публикации:	13 дек. 2025 г.

Web of science:	WOS:001628127700004
Scopus:	2-s2.0-105023530360
OpenAlex:	W4416867712

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