| 限制性哈密顿系统中局部坐标的选取对数值计算的影响 |
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| 引用本文： | 李江丹,张素英.限制性哈密顿系统中局部坐标的选取对数值计算的影响[J].晋城职业技术学院学报,2014(3):66-68. |
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| 作者姓名： | 李江丹 张素英 |
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| 作者单位： | [1]太原师范学院物理系,太原030012 [2]山西大学理论物理研究所,太原030006 |
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| 摘 要： | 本文研究了求解限制性哈密顿系统的局部坐标方法,并证明了不同的局部坐标具有等价性。但坐标的等价性不能导致数值计算的等效性,通过具体的案例我们发现数值计算的精确度与局部坐标的选取有很大的关系。
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| 关 键 词： | 局部坐标法 限制不变性 限制性哈密顿系统 |
The Importance of Choice of Local Coordinates for Constrained Hamiltonian System |
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| LI Jiang-dan,ZHANG Su-ying.The Importance of Choice of Local Coordinates for Constrained Hamiltonian System[J].Journal of Jincheng Institute of Technology,2014(3):66-68. |
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| Authors: | LI Jiang-dan ZHANG Su-ying |
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| Institution: | 1.Department of Physics, Taiyuan Normal University, Taiyuan 030012, China; 2.Institute of Theoretical Physics, Shanxi University, Taiyuan 030006, China) |
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| Abstract: | The paper studies the local coordinates methods of the constrained Hamihonian system and proves that different local coordinates are of equivalence. However, the equivalence fails to result in that of numerical calculation. Based on several specific cases, we can find the accuracy of numerical calculation is closely related to the choice of the local coordinates. |
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| Keywords: | local coordinates method constraint-invariant constrained Hamihonian system |
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