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Inversion of the fractional parentage matrix

par Godefroid, Michel ;Liévin, Jacques ;Metz, J.-Y.
Référence Journal of Physics A: Mathematical and Theoretical, 20, page (1645-1653)
Publication Publié, 1987

Article révisé par les pairs

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Résumé :

The Racah fractional parentage coefficients (1943) used in atomic structure calculations contribute to a part of an ordinary unitary matrix transformation. In the present paper the authors describe three different approaches for completing this matrix using (i) projection operator techniques, (ii) the factorisation lemma of Racah and (iii) the spin-free formalism already used in theoretical studies of nuclear structures. The authors hope to give a deeper insight into the fractional parentage expansion and to its inverse transformation.