The Schwinger action principle for classical systems

We use the Schwinger action principle to obtain the equations of motion in the Koopman-von Neumann operational version of classical mechanics. We restrict our analysis to non-dissipative systems. We show that the Schwinger action principle can be interpreted as a variational principle for velocity-i...

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Bibliographic Details
Published in:arXiv.org 2023-02
Main Author: Bermúdez Manjarres, A D
Format: Article
Language:English
Subjects:
Classical mechanics
Equations of motion
Online Access:Get full text
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Summary:We use the Schwinger action principle to obtain the equations of motion in the Koopman-von Neumann operational version of classical mechanics. We restrict our analysis to non-dissipative systems. We show that the Schwinger action principle can be interpreted as a variational principle for velocity-independent forces.
ISSN:2331-8422
DOI:10.48550/arxiv.2107.03982