On the Symmetric Tensor Operators of the Unitary Groups
On the Symmetric Tensor Operators of the Unitary Groups
复制标题
关于酉群的对称张量算子
DOI：
10.1063/1.1666142
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发表时间：
1972
影响因子：
1.3
通讯作者：
A. Jucys
中科院分区：
文献类型：
--
作者：
S. Alǐsauskas;A. Jucys;A. Jucys
研究了酉群的对称张量算子的矩阵元（无穷小算子的幂）在Gel'fand基上的代数表达式。得到了相关的Clebsch-Gordan系数的等距因子的表达式，以及一个特殊的再耦合矩阵的元素，并研究了SU 2的Wigner系数和6 j系数的Regge对称性所对应的等距因子的补充对称性.
The algebraic expressions for the matrix elements of symmetric tensor operators (the powers of infinitesimal operators) of the unitary groups in the Gel'fand basis have been studied. The expressions for the isoscalar factors of the related Clebsch‐Gordan coefficients, one of the two representations to be coupled being symmetric, as well as the elements of a special recoupling matrix have been found. The supplementary symmetry properties of the isoscalar factors corresponding to the Regge symmetries of the Wigner and 6j coefficients of SU2 have been examined.