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arXiv 1402.3541math-phhep-thmath.MPquant-ph
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旋转为自旋矩阵多项式的一个紧致公式

A Compact Formula for Rotations as Spin Matrix Polynomials

Thomas L. Curtright, David B. Fairlie, Cosmas K. Zachos

摘要:

SU(2)的群元被表示为李代数生成元的有限多项式的封闭形式,对于旋转群的所有确定的自旋表示。简单明确的结果显示群论,组合学和傅立叶分析之间的联系,特别是在大自旋极限。显着的直观功能的公式进行了说明和讨论。

英文摘要:

Group elements of SU(2) are expressed in closed form as finite polynomials of the Lie algebra generators, for all definite spin representations of the rotation group. The simple explicit result exhibits connections between group theory, combinatorics, and Fourier analysis, especially in the large spin limit. Salient intuitive features of the formula are illustrated and discussed.

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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