用本征函数法计算置换群的Clebsh-Gordan系数
The Calculation of Clebsh-Gordan Coefficients for the Permutation Group by the Eigenfunction Method
摘要：
我们使用本征函数方法来计算置换群的Clebsh-Gordan系数。这种方法是由陈金泉建立的。在这里，我们详细阐述了教学目的的详细程序。由于对称性的性质，人们可以从给定的一类算子的本征函数的解得到退化。为了消除退化，我们使用额外的类算子，这可能是子群类算子，甚至是状态置换算子。在这样做的过程中，各种特征值出现。这样就得到了每个本征函数，并完全找到了基向量。
英文摘要：
We use the eigenfunction method to calculate the Clebsh-Gordan coefficients for the permutation group . This method is well-established by Jin-Quan Chen. Here we elaborate the detailed procedures for the pedagogical purpose. Due to the nature of the symmetry, one may get the degeneracy from the solution of eigenfunctions for given one class operator. In order to remove the degeneracy we use extra class operators, which may be the subgroup class operator or even the state permutation operator. In doing so, a variety of eigenvalues come out. Every eigenfunction is therefore obtained, and basis vectors are completely found.
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。
