najoNanosystems: Physics, Chemistry, MathematicsНаносистемы: физика, химия, математика2220-80542305-7971Университет ИТМО10.17586/2220-8054-2023-14-4-418-420najo-126Research ArticleMATHEMATICSМАТЕМАТИКАA model of charged particle on the flat Mobius strip in a magnetic fieldМодель заряженной частицы на плоском листе Мёбиуса в магнитном полеhttps://orcid.org/0000-0002-5251-5327ПоповИ. Ю.PopovI. Y.

Igor Y. Popov – Center of Mathematics

Kroverkskiy, 49, St. Petersburg, 197101

popov1955@gmail.comITMO UniversityRussian Federation202303062025144418420Copyright © Popov I.Y., 20252025Попов И.Ю.Popov I.Y.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://nanojournal.ifmo.ru/jour/article/view/126

The spectral problem for the Schrodinger operator with a magnetic field on the flat M ¨ obius strip is ¨ considered. The model construction is described. It is compared with the case of the Laplace operator. 

Рассмотрена спектральная задача для оператора Шредингера с магнитным полем на плоском листе Мёбиуса. Описана конструкция модели. Проведено сравнение со случаем оператора Лапласа.

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The authors declare that there are no conflicts of interest present.