与\(\mathfrak{e}(3)\)\(\mathfrak{so}(4)\)和\(\mathfrak{so}(3,1)\)泊松括号相关的可积哈密顿量

IF 1 4区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Theoretical and Mathematical Physics Pub Date : 2025-05-26 DOI:10.1134/S0040577925050034

V. V. Sokolov

引用次数: 0

摘要

我们简要概述了我们在哈密顿力学中新的可积情况下的结果。本文讨论了在线性泊松括号\(\mathfrak{e}(3)\), \(\mathfrak{so}(4)\)和\(\mathfrak{so}(3,1)\)的情况下具有附加运动积分的二次哈密顿量的描述。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Integrable Hamiltonians related to the \(\mathfrak{e}(3)\), \(\mathfrak{so}(4)\), and \(\mathfrak{so}(3,1)\) Poisson brackets

We present a brief overview of our results on new integrable cases in Hamiltonian mechanics. The paper is devoted to a description of quadratic Hamiltonians that have an additional integral of motion in the cases of linear Poisson brackets \(\mathfrak{e}(3)\), \(\mathfrak{so}(4)\) and \(\mathfrak{so}(3,1)\).

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Theoretical and Mathematical Physics 物理-物理：数学物理

CiteScore

1.60

自引率

20.00%

发文量

103

审稿时长

4-8 weeks

期刊介绍： Theoretical and Mathematical Physics covers quantum field theory and theory of elementary particles, fundamental problems of nuclear physics, many-body problems and statistical physics, nonrelativistic quantum mechanics, and basic problems of gravitation theory. Articles report on current developments in theoretical physics as well as related mathematical problems. Theoretical and Mathematical Physics is published in collaboration with the Steklov Mathematical Institute of the Russian Academy of Sciences.