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SU(3)再访

SU(3) Revisited

Mark S. Byrd, E. C. G. Sudarshan

摘要:

两个基本表示和八位组的所有状态的"$D$"矩阵在广义欧拉角参数化中示出。在这个参数化中,提升和降低算子是根据群流形的左不变向量场的线性组合给出的。利用这些微分算子找到了任意不可约表示的最高权态,并给出了计算Clebsch-Gordon系数的描述.

英文摘要:

The ``$D$'' matrices for all states of the two fundamental representations and octet are shown in the generalized Euler angle parameterization. The raising and lowering operators are given in terms of linear combinations of the left invariant vector fields of the group manifold in this parameterization. Using these differential operators the highest weight state of an arbitrary irreducible representation is found and a description of the calculation of Clebsch-Gordon coefficients is given.

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