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arxiv: physics/9903015 · v4 · submitted 1999-03-09 · ⚛️ physics.class-ph

Unified Expressions Of All Integral Variational Principles

classification ⚛️ physics.class-ph
keywords variationalprinciplesgeneralintegralldermaupertuis-lagrangevosscharges
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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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