Commutativity in Lagrangian and Hamiltonian Mechanics
Ananth Sridhar, Yuri B. Suris
TL;DR
This paper characterizes when Hamilton functions commute in terms of their principal action functions, providing insights into the structure of Lagrangian and Hamiltonian mechanics.
Contribution
It offers a new characterization of Poisson commutativity using principal action functions, linking Lagrangian and Hamiltonian frameworks.
Findings
Poisson commutativity characterized by principal action functions
Provides a criterion for Hamilton functions to commute
Bridges Lagrangian and Hamiltonian formalisms
Abstract
The main result of this note is a characterization of the Poisson commutativity of Hamilton functions in terms of their principal action functions.
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