| 约束Hamilton系统在相空间中的对称性质 |
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| 引用本文： | 李子平. 约束Hamilton系统在相空间中的对称性质[J]. 新疆大学学报(理工版), 1992, 0(3) |
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| 作者姓名： | 李子平 |
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| 作者单位： | 中国高等科学技术中心(世界实验室) 北京工业大学应用物理系 |
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| 摘 要： | 本文导出了奇异Lagrange量连续系统在相空间中规范变更时的Noether定理,导出了变更性系统在相空间中的Noether恒等式以及强守恒律和弱守恒律。基于该系统的对称性质,给出了一个反例,Dirac猜想失效。这里不像Cawley和其他作者那样,我们未将约束线性化。
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| 关 键 词： | 约束系统的Dirac理论 相空间中的Noether定理 Dirac猜想 |
SYMMETRY PROPERTIES IN PHASE SPACE FOR CONSTRAINED HAMILTONIAN SYSTEM |
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| Li Ziping CCAST. SYMMETRY PROPERTIES IN PHASE SPACE FOR CONSTRAINED HAMILTONIAN SYSTEM[J]. Journal of Xinjiang University(Science & Engineering), 1992, 0(3) |
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| Authors: | Li Ziping CCAST |
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| Affiliation: | World Laboratory |
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| Abstract: | We have derived the generalized first Noether theorem for gauge-variant system with singular Lagrangian and Noether identities for variant system in phase space. The strong and week conservation laws for variant system were deduced. Some preliminary applications were given. In certain cases a variant system in canonical variables is a constrained Hamiltonian system. Based upon the symmtry properties of such system, an example was given in which Dirac's conjecture fails, in that we do not write the constraints in linearized form as Cawley and others do. |
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| Keywords: | Dirac theory of constrained system Noether's theory in phase space Dirac's conjecture |
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