Generalized Dynamics of the Mass Point with Internal Degrees of Freedom

Details Generalized Dynamics of the Mass Point with Internal Degrees of Freedom Generalized Dynamics of the Mass Point with Internal Degrees of Freedom

2010-10-22

arxiv.org/abs/1010.4645v1

Physics

High Energy Physics

High Energy Physics - Theory

Talk presented at 15-th International Conference and School "Foundation & Advances in Nonlinear Science", September 20-23, 201

Scientific paper

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 $\partial U / \partial \tau = 0$ fulfilled, where $\tau$ 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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