Quasi-classical approximation for magnetic monopoles | Sciact - Система учета научной деятельности ИМ СО РАН

Quasi-classical approximation for magnetic monopoles Научная публикация

Журнал

Russian Mathematical Surveys
ISSN: 0036-0279 , E-ISSN: 1468-4829

Вых. Данные

Год: 2020, Том: 75, Номер: 6, Страницы: 1067-1088 Страниц : 22 DOI: 10.1070/RM9969

Ключевые слова

Magnetic Laplacian; Magnetic monopole; Quasi-classical approximation

Авторы

Kordyukov Yu.A. ^1,2 , Taimanov I.A. ^2,3

Организации

1	Institute of Mathematics with Computing Centre - Subdivision of the Ufa Federal Research Centre of Russian Academy of Science
2	Novosibirsk State University
3	Sobolev Institute of Mathematics

A quasi-classical approximation is constructed to describe the eigenvalues of the magnetic Laplacian on a compact Riemannian manifold in the case when the magnetic field is given by a non-exact 2-form. For this, the multidimensional WKB method in the form of the Maslov canonical operator is applied. In this case, the canonical operator takes values in sections of a non-trivial line bundle. The constructed approximation is demonstrated for the example of the Dirac magnetic monopole on the two-dimensional sphere.

Kordyukov Y.A. , Taimanov I.A.
Quasi-classical approximation for magnetic monopoles
Russian Mathematical Surveys. 2020. V.75. N6. P.1067-1088. DOI: 10.1070/RM9969 WOS Scopus OpenAlex

Кордюков Ю.А. , Тайманов И.А.
Квазиклассическое приближение для магнитных монополей
Успехи математических наук. 2020. Т.75. №6. С.85-106. DOI: 10.4213/rm9969 РИНЦ OpenAlex

Web of science:	WOS:000625987300001
Scopus:	2-s2.0-85103054739
OpenAlex:	W3107421919

БД	Цитирований
Web of science	6
Scopus	4
OpenAlex	9