积分变分原理的统一表示
Unified Expressions Of All Integral Variational Principles
摘要:
本文从定量因果原理出发,得到了一个广义变分原理,给出了积分型广义、Hamilton、Voss、Hölder、Maupertuis-Lagrange变分原理的统一表达式,给出了广义、Voss、Hölder、Maupertuis-Lagrange变分原理的不变量,最后给出了广义、Voss、Hölder、Maupertuis-Lagrange变分原理的Noether守恒量推导了Maupertuis-Lagrange变分原理,得到了所有积分型变分原理的不变量与Noether守恒量之间的内在联系.
英文摘要:
In terms of the quantitative causal principle, this paper obtains a general variational principle, gives unified expressions of the general, Hamilton, Voss, Hölder, Maupertuis-Lagrange variational principles of integral style, the invariant quantities of the general, Voss, Hölder, Maupertuis-Lagrange variational principles are given, finally the Noether conservation charges of the general, Voss, Hölder, 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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