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arXiv 0705.3415math-phmath.MPphysics.class-ph
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局部保守物理系统的分析力学

Analytic Mechanics of Locally Conservative Physical Systems

Gavriel Segre

摘要:

一个物质点的动力学分析完全约束到三维欧氏空间的子流形,并受到局部保守力场的影响,即力场对应于这样一个子流形上的封闭但不一定精确的微分形式,需要推广拉格朗日和哈密顿形式主义。

英文摘要:

The analysis of the dynamics of a material point perfectly constrained to a submanifold of the three-dimensional euclidean space and subjected to a locally conservative force's field, namely a force's field corresponding to a closed but not necessarily exact differential form on such a submanifold, requires a generalization of the Lagrangian and the Hamiltonian formalism that is here developed.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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