Математическая модель слабосвязанных цепочек сферических резонаторов под действием внешнего магнитного поля
https://doi.org/10.17586/2220-8054-2024-15-2-155-159
Аннотация
Рассмотрены операторы Шредингера с постоянным магнитным полем в изогнутой цепочке и цепочке связанных шаров Y-типа. Связь существует за счет точечных отверстий в точках соприкосновения соседних сфер. Математической основой модели является теория самосопряженных расширений симметричных операторов. Выведены и проанализированы спектральные уравнения для модельных операторов в каждом случае.
Об авторах
А. С. Мелихова
ITMO University
Россия
Россия
А. И. Попов
ITMO University
Россия
Россия
И. В. Блинова
ITMO University
Россия
Россия
И. Ю. Попов
ITMO University
Россия
Россия
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Рецензия
Для цитирования:
Мелихова А.С., Попов А.И., Блинова И.В., Попов И.Ю. Математическая модель слабосвязанных цепочек сферических резонаторов под действием внешнего магнитного поля. Наносистемы: физика, химия, математика. 2024;15(2):155-159. https://doi.org/10.17586/2220-8054-2024-15-2-155-159
For citation:
Melikhova A.S., Popov A.I., Blinova I.V., Popov I.Y. Mathematical model of weakly coupled spherical resonator chains under the influence of external magnetic field. Nanosystems: Physics, Chemistry, Mathematics. 2024;15(2):155-159. https://doi.org/10.17586/2220-8054-2024-15-2-155-159
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