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Связанные состояния лапласиана, возмущенного переменным потенциалом, сосредоточенным на линии в R3

https://doi.org/10.17586/2220-8054-2021-12-5-549-552

Аннотация

Мы исследуем систему с притягивающим дельта-потенциалом, сосредоточенным на прямой линии в R3 . Он постоянен, кроме ограниченной области. Мы доказываем существование дискретного спектра и строим верхнюю оценку количества связанных состояний, используя метод Бирмана-Швингера.

Об авторе

A. S. Bagmutov
ITMO University
Россия


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Рецензия

Для цитирования:


Bagmutov A.S. Связанные состояния лапласиана, возмущенного переменным потенциалом, сосредоточенным на линии в R3. Наносистемы: физика, химия, математика. 2021;12(5):549-552. https://doi.org/10.17586/2220-8054-2021-12-5-549-552

For citation:


Bagmutov A.S. Bound states for Laplacian perturbed by varying potential supportedby line in R3. Nanosystems: Physics, Chemistry, Mathematics. 2021;12(5):549-552. https://doi.org/10.17586/2220-8054-2021-12-5-549-552

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ISSN 2220-8054 (Print)
ISSN 2305-7971 (Online)