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Filed Approach to Classical Mechanics

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We show that in classical mechanics the momentum may depend only on the coordinates and can thus be considered as a field. We formulate a special Lagrangian formalism as a result of which the momenta satisfy differential equations which depend only on the coordinates. The solutions correspond to all possible trajectories. As a bonus the Hamilton-Jacobi equation results in a very simple way.

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Correspondence to A. Gersten.

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Gersten, A. Filed Approach to Classical Mechanics. Found Phys 35, 1433–1443 (2005).

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