A COMPLETE SET OF SPIN 1/2 FUNCTIONS BY YOUNG-DIAGRAMS

被引:2
作者
SAITO, R [1 ]
KUSAKABE, K [1 ]
机构
[1] UNIV TOKYO,FAC SCI,DEPT PHYS,BUNKYO KU,TOKYO 113,JAPAN
关键词
STANDARD TABLEAU; COMPLETENESS; SYMMETRICAL GROUP; YOUNG DIAGRAM;
D O I
10.1143/JPSJ.60.2388
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We propose non-orthogonal spin 1/2 functions of N spins with the total spin S(tot) = S, and its z components of S(z)tot = M, which are generated by the standard tableaus of Young's diagrams of the symmetric group. The proof that the spin functions form a complete set of the space of {S(tot) = S, S(z)tot = M} is presented in terms of permutation operators of the symmetric group.
引用
收藏
页码:2388 / 2393
页数:6
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