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arXiv 0911.0579quant-phphysics.chem-ph
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关于自旋统计的位形空间方法的注记

Remarks on the Configuration Space Approach to Spin-Statistics

A. F. Reyes-Lega, C. Benavides

摘要:

利用Isham的正则群量子化方法构造了两个自旋为零的不可分辨粒子系统的角动量算符。这种数学上严格的方法提供了一个提示,在一个不可区分的粒子系统中,对于任意自旋,(总)角动量算符的正确定义。与其他配置空间的自旋统计方法的连接进行了讨论,以及所获得的结果的相关性,鉴于一个可能的替代证明的自旋统计定理。

英文摘要:

The angular momentum operators for a system of two spin-zero indistinguishable particles are constructed, using Isham's Canonical Group Quantization method. This mathematically rigorous method provides a hint at the correct definition of (total) angular momentum operators, for arbitrary spin, in a system of indistinguishable particles. The connection with other configuration space approaches to spin-statistics is discussed, as well as the relevance of the obtained results in view of a possible alternative proof of the spin-statistics theorem.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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