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Geometric and physical interpretation of the action principle

We give a geometric interpretation for the principle of stationary action in classical Lagrangian particle mechanics. In a nutshell, the difference of the action along a path and its variation effectively “counts” the possible evolutions that “go through” the area enclosed. If the path corresponds t...

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Detalles Bibliográficos
Autores principales: Carcassi, Gabriele, Aidala, Christine A.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2023
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10372048/
https://www.ncbi.nlm.nih.gov/pubmed/37495640
http://dx.doi.org/10.1038/s41598-023-39145-y