Commutativity in Lagrangian and Hamiltonian mechanics

被引：0

作者：

Sridhar, Ananth ^{[1
]}

Suris, Yuri B. ^{[1
]}

机构：

[1] Tech Univ Berlin, Inst Math, Str 17 Juni 136, D-10623 Berlin, Germany

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2019年 / 137卷

关键词：

Lagrangian mechanics; Hamiltonian mechanics; Principal action function; Commutativity; Discrete time Lagrangian mechanics; Hamilton-Jacobi equations;

D O I：

10.1016/j.geomphys.2018.09.019

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main result of this note is a characterization of the Poisson commutativity of Hamilton functions in terms of their principal action functions. We discuss also a discrete time analog of this result - a characterization of commutativity of symplectic maps in terms of their generating functions. (C) 2018 Elsevier B.V. All rights reserved.

引用

页码：154 / 161

页数：8

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