Abstract
General expressions for fractional parentage coefficients are derived, for the special case where the state vectors are all different, by using normalized Young symmetry operators constructed out of permutation operators acting on the state vectors. The coefficients are given directly in terms of matrix elements of the permutations characterizing the cosets of the subgroup of multiplied by the corresponding permutation operator. The permutation operators themselves are expressible in terms of Racah functions. Explicit expressions for the coefficients are given also for cases where some of the state vectors are identical.
- Received 1 June 1954
DOI:https://doi.org/10.1103/PhysRev.96.989
©1954 American Physical Society