A method for the construction of orthogonal spin eigenfunctions

✍ Scribed by J. S. Murty; C. R. Sarma

• Publisher: John Wiley and Sons
• Year: 1975
• Tongue: English
• Weight: 436 KB
• Volume: 9
• Category: Article
• ISSN: 0020-7608
• DOI: 10.1002/qua.560090615

✦ Synopsis

Abstract

A method for the construction of the essentially idempotent and Hermitian diagonal elements of the matric algebra of the permutation group S~n~ is proposed. For the irreducible representation [λ] = [λ~1~, λ~2~] characterising a spin state S of an n‐electron system, it is found that this method generates the complete set of spin projections from the appropriate primitive spin functions. The method is applied to a 7‐electron system in the spin state S = M~S~ = 1/2 and the results are listed in the Appendix.