dorsal/arxiv
View SchemaUnified Expressions Of All Integral Variational Principles
| Authors | Y. C. Huang, Xi-Guo Lee, Ming-Xue Shao |
|---|---|
| Categories | |
| ArXiv ID | physics/9903015 |
| URL | https://arxiv.org/abs/physics/9903015 |
| DOI | 10.1142/S0217732306019232 |
| Journal | This paper had been published in Mod. Phys. Lett. A21(2006)1107 |
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.
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"abstract": "In terms of the quantitative causal principle, this paper obtains a general\nvariational principle, gives unified expressions of the general, Hamilton,\nVoss, H\\\"{o}lder, Maupertuis-Lagrange variational principles of integral style,\nthe invariant quantities of the general, Voss, H\\\"{o}lder, Maupertuis-Lagrange\nvariational principles are given, finally the Noether conservation charges of\nthe general, Voss, H\\\"{o}lder, Maupertuis-Lagrange variational principles are\ndeduced, and the intrinsic relations among the invariant quantities and the\nNoether conservation charges of the all integral variational principles are\nachieved.",
"arxiv_id": "physics/9903015",
"authors": [
"Y. C. Huang",
"Xi-Guo Lee",
"Ming-Xue Shao"
],
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"physics.class-ph"
],
"doi": "10.1142/S0217732306019232",
"journal_ref": "This paper had been published in Mod. Phys. Lett. A21(2006)1107",
"title": "Unified Expressions Of All Integral Variational Principles",
"url": "https://arxiv.org/abs/physics/9903015"
},
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