A Complete Set of Spin 1/2 Functions by Young's Diagrams
- 15 July 1991
- journal article
- research article
- Published by Physical Society of Japan in Journal of the Physics Society Japan
- Vol. 60 (7) , 2388-2393
- https://doi.org/10.1143/jpsj.60.2388
Abstract
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.Keywords
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