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

来源：

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 1991年 / 60卷 / 07期

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

页码：2388 / 2393

页数：6

共 8 条

[1]

Hamermesh M., 1964, GROUP THEORY ITS APP, Vsecond

[2]

Inui T., 1976, GROUP THEORY ITS APP

[3] SYMMETRY STUDIES OF ANTIFERROMAGNETIC HEISENBERG-MODEL [J].