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arXiv · 1010.4645

Generalized Dynamics of the Mass Point with Internal Degrees of Freedom

A. N. Tarakanov
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Abstract

An equation of motion of the mass point with internal degrees of freedom in scalar potential $U$ depending on relative coordinates and time, velocity and accelerations is obtained both for non-relativistic and relativistic case. In non-relativistic case a generalization of the energy conservation law follows, if $\partial U / \partial t = 0$ fulfilled. A concept of work is generalized to relativistic case, leading to corresponding integral of motion, if $\partial U / \partial τ= 0$ fulfilled, where $τ$ is proper time of the point. In neglecting an internal degrees of freedom and absence of interaction this integral of motion gives standard Special Relativity.

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A. N. Tarakanov. 2010-10-22. Generalized Dynamics of the Mass Point with Internal Degrees of Freedom. https://arxiv.org/abs/1010.4645

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