Интегрируемые гамильтонианы, связанные со скобками Пуассона $\mathfrak{e}(3)$, $\mathfrak{so}(4)$ и $\mathfrak{so}(3,1)$
- 1 May 2025
- journal article
- Published by Steklov Mathematical Institute
- Vol. 223 (2) , 247-260
Abstract
Приведен краткий обзор результатов автора, касающихся новых интегрируемых случаев в гамильтоновой механике. Описываются квадратичные гамильтонианы, обладающие дополнительным интегралом движения в случаях линейных скобок Пуассона $\mathfrak{e}(3)$, $\mathfrak{so}(4)$ и $\mathfrak{so}(3,1)$.
Funding Information
- Ministry of Education and Science of the Russian Federation
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