Classical Physics

    

A Simple Derivation of the Stationary Action Formulation of Classical Mechanics Using Differential Forms

Authors: Andrew Grieco

This manuscript describes the stationary action formulation of classical mechanics as a constrained extremization problem using differential forms. The general method entails treating the parameterization relationship as a constraint applied to the action integral, and the conditions that arise from writing the equivalent unconstrained action are then associated with the force law to derive the Lagrangian and Hamiltonian terms.

Comments: 9 Pages.

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Submission history

[v1] 2015-12-07 21:40:45

Unique-IP document downloads: 389 times

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