| 约束Hamilton系统量子理论中的Noether定理和Poincaré-Cartan积分不变量 |
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| 引用本文： | 高海啸,李子平.约束Hamilton系统量子理论中的Noether定理和Poincaré-Cartan积分不变量[J].北京工业大学学报,1997(4). |
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| 作者姓名： | 高海啸 李子平 |
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| 作者单位： | 北京工业大学应用物理系 100022
(高海啸)，中国高等科学技术中心(CCAST) 世界实验室协联成员(李子平) |
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| 摘 要： | 基于有限自由度约束Hamilton系统的Green函数的相空间生成泛函,导出了该系统在相空间中整体对称下的量子形式Noether定理.根据生成泛函在相空间中的平移不变性,得到了该系统的量子水平Poincaré-Cartan积分不变量,并讨论了与经典结果的对比.
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| 关 键 词： | 约束Hamilton系统 路径积分 Noether定理 Poincaré-Cartan积分不变量 |
Noether Theorem and Poincare - Cartan Integral Invariant in Quantum Case for a Constrained Hamilton System |
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| Gao Haixiao Li Ziping.Noether Theorem and Poincare - Cartan Integral Invariant in Quantum Case for a Constrained Hamilton System[J].Journal of Beijing Polytechnic University,1997(4). |
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| Authors: | Gao Haixiao Li Ziping |
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| Abstract: | Based on the phase-space generating functional of Green function for a constrained Hamiltonian system with finite degree of freedom, the Noether theorem in quantum case under the global symmetry in phase space is derived for such a system. According to the translation-invariance of generating functional in phase space, the Poincare-Cartan integral invariant at the quantum level is deduced. The comparison of it with the classical results is discussed. |
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| Keywords: | constrained Hamiltonian system path integral Noether theorem Poincare-Cartan integral invariant |
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