| 超对称量子力学与Lefschetz不动点公式 |
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| 引用本文： | 李思,阳燕红.超对称量子力学与Lefschetz不动点公式[J].中国科学技术大学学报,2008,38(9). |
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| 作者姓名： | 李思 阳燕红 |
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| 作者单位： | 中国科学技术大学数学系,安徽合肥,230026 |
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| 摘 要： | 在超对称量子力学的框架下,通过利用一种特殊的边界条件,给出了Lefschetz不动点公式的一个物理证明.回顾了黎曼流形上的N=1超对称量子力学系统,并将Hodge算子实现为Fock空间上的物理算子.
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| 关 键 词： | 超对称量子力学 Lefschetz不动点公式 边界条件 |
Supersymmetric quantum mechanics and Lefschetz fixed-point formula |
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| LI Si,YANG Yan-hong.Supersymmetric quantum mechanics and Lefschetz fixed-point formula[J].Journal of University of Science and Technology of China,2008,38(9). |
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| Authors: | LI Si YANG Yan-hong |
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| Abstract: | A physical proof of Lefschetz fixed-point formula in the framework of supersymmetric quantum mechanics was given by means of a special boundary condition. N=1 supersymmetric quantum mechanics on Riemannian manifold was reviewed and the physical realization of Hodge star operator on the Fock space was explicitly constructed. |
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| Keywords: | supersymmetric quantum mechanics Lefschetz fixed-point formula boundary condition |
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