一般子代数链的Racah方法：规范基和物理基中SO（5）的耦合系数
Racah's method for general subalgebra chains: Coupling coefficients of SO(5) in canonical and physical bases
摘要：
结果表明，只要已知G的生成元的约化矩阵元和H的再耦合系数，无穷小生成元法（“Racah法”）就可以广泛而系统地表示为一种适用于计算一般子代数链G>H的约化耦合系数的方法。以SO（5）>SO（4）约化耦合系数的计算为例，给出了正则子代数链与物理子代数链之间约化耦合系数的转换方法.用这种方法完全解决了SO（5）的一般非线性表示的耦合系数的计算问题，这些非线性表示是关于SO（5）的任何子代数链约化的。
英文摘要：
It is shown that the method of infinitesimal generators ("Racah's method") can be broadly and systematically formulated as a method applicable to the calculation of reduced coupling coefficients for a generic subalgebra chain G>H, provided the reduced matrix elements of the generators of G and the recoupling coefficients of H are known. The calculation of SO(5)>SO(4) reduced coupling coefficients is considered as an example, and a procedure for transformation of reduced coupling coefficients between canonical and physical subalegebra chains is presented. The problem of calculating coupling coefficients for generic irreps of SO(5), reduced with respect to any of its subalgebra chains, is completely resolved by this approach.
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。
