| 相空间中的Noether定理及其应用 |
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| 引用本文： | 李子平. 相空间中的Noether定理及其应用[J]. 新疆大学学报(理工版), 1989, 6(3): 37-43 |
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| 作者姓名： | 李子平 |
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| 作者单位： | 北京工业大学应用物理系 |
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| 摘 要： | 从修改的哈密顿变分原理出发导出相空间的 Noether 定理,对正则拉氏量系统,分析该系统在相空间中的对称性质,可导出其相应的守恒量,而这种相空间中的对称性质在位形空间中常常又是不呈现出来的.对奇异拉氏量系统,该系统具有 Dirac约束,我们分析了约束系统的对称性质,讨论了 Dirac 猜想是否有效.
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| 关 键 词： | 相空间 修改的哈密顿原理 Noether 定理 守恒律 奇异拉氏量 Dirac 猜想 |
Noether Theorem in Phase Space and Their Applications |
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| Li Ziping. Noether Theorem in Phase Space and Their Applications[J]. Journal of Xinjiang University(Science & Engineering), 1989, 6(3): 37-43 |
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| Authors: | Li Ziping |
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| Abstract: | We have deduced the Noether theorem in phase Space based on modifiedHamilton's Variational prineiple.For regular Lagraagian System,Consider thesymmetry of the systera in phase space,we can obtain the conservation lawsin phase space.This symmetry is not explicit in the configuration space asclassical Noether theorem.For singular Lagrangian system,from the symme-try properties of constrained system in phase space,we give the Noether theo-rem of this constrained system and some examples that Dirae's conjectureholds true or not. |
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| Keywords: | phase space modified Hamilton's variational principle Noether theorem conservation law singular Lagrangian Dirac's constrained Dirac's conjecture |
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