Unified Expressions Of All Integral Variational Principles
Classical Physics
2009-10-31 v4
Abstract
In terms of the quantitative causal principle, this paper obtains a general variational principle, gives unified expressions of the general, Hamilton, Voss, H\"{o}lder, Maupertuis-Lagrange variational principles of integral style, the invariant quantities of the general, Voss, H\"{o}lder, Maupertuis-Lagrange variational principles are given, finally the Noether conservation charges of the general, Voss, H\"{o}lder, Maupertuis-Lagrange variational principles are deduced, and the intrinsic relations among the invariant quantities and the Noether conservation charges of the all integral variational principles are achieved.
Cite
@article{arxiv.physics/9903015,
title = {Unified Expressions Of All Integral Variational Principles},
author = {Y. C. Huang and Xi-Guo Lee and Ming-Xue Shao},
journal= {arXiv preprint arXiv:physics/9903015},
year = {2009}
}
Comments
This paper had been revised, and to appear in Mod. Phys. Lett. A