配位场理论的不可约张量方法研究——群与子群的不可约张量算子约化矩阵元间的关系式及其作用

本文运用唐敖庆等引入的群到子群V系数,首先导出了群的不可约张量算子约化矩阵元与其子群的不可约张量算子约化矩阵元间的简单关系式。由此关系式出发,进一步导出了更为一般的广义Wigner-Eckart定理,得到了不同的群到子群V系数间的普遍关系式,从而使不可约张量方法对配位场问题的理论处理更加灵活,方便。

A STUDY OF THE IRREDUCIBLE TENSOR METHOD IN THE LIGAND-FIELD THEORY

Based on the V-partition coupling coefficients from a group to its subgroup, a general relationship between the reduced matrix element of irreducible tensor operator of a group and that of its subgroup is obtained. From this general relationship and the original Wigner-Eckart Theorem, we get a more generalized Wigner-Eckart Theorem and another general relationship between various kinds of the V-partition coupling coefficients from groups to the corresponding subgroups.