Symmetry-Adapted Functions Belonging to the Symmetric Groups
- 1 November 1960
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 1 (6) , 453-460
- https://doi.org/10.1063/1.1703681
Abstract
Young's factorization of idempotents belonging to the symmetric groups is given a necessary and sufficient characterization, by means of a lemma due to Burrow. The use of these idempotents is contrasted with Yamanouchi's representation, and finally the equivalence of Löwdin's path diagram method to the group‐theoretical treatment of the angular momentum states arising from the coupling of an assemblage of spin ½ particles is demonstrated.Keywords
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