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物理学报  2007 

A new Young tableau method of obtaining equivalent-electron Young basis
确定等价电子杨盘基的新杨盘方法

Keywords: equivalent-electron,regular Young tableau,Slater function,permutation operators,orthogonal normalization
等价电子.
,正则杨盘.,Slater函数.,置换算符.,正交归一化

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Abstract:

In this paper, the projection function of regular Young tableau of equivalent-electrons is proved to be a Slauer function, and the operation rules of Young's permutation operators operating on the Slater function are given. The Young operators can be distinguished as elimination operator and effective permutation operator by the normalization of Young basis, then the constructive rules of permutation operators of the orthogonal normalization of Young basis is given. By this method, the number of Young's permutation operators is reduced and the new Young tableau method of obtaining equivalent-electron Young basis is represented.

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