Unified Expressions Of All Integral Variational Principles

Details Unified Expressions Of All Integral Variational Principles Unified Expressions Of All Integral Variational Principles

1999-03-09

arxiv.org/abs/physics/9903015v4

This paper had been published in Mod. Phys. Lett. A21(2006)1107

Physics

Classical Physics

This paper had been revised, and to appear in Mod. Phys. Lett. A

Scientific paper

10.1142/S0217732306019232

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.

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