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arXiv · 1905.06185

Liouville's theorem and the foundation of classical mechanics

Andreas Henriksson
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Abstract

In this article, it is suggested that a pedagogical point of departure in the teaching of classical mechanics is the Liouville theorem. The theorem is interpreted to define the condition that describe the conservation of information in classical mechanics. The Hamilton equations and the Hamilton principle of least action are derived from the Liouville theorem.

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Andreas Henriksson. 2019-05-13. Liouville's theorem and the foundation of classical mechanics. https://doi.org/10.3952/physics.v62i2.4740

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