Coefficients of fractional parentage in the L–S coupling scheme

DOI10.1063/1.527930zbMath0641.22012OpenAlexW1970700733MaRDI QIDQ3781943

Akiva Novoselsky, Robert Gilmore, Jacob Katriel

Publication date: 1988

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.527930

zbMATH Keywords

Casimir operatorscoefficients of fractional parentageconjugate representationsL-S coupled wave functionsN- particle states

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Applications of Lie groups to the sciences; explicit representations (22E70)

Related Items (3)

A recursive method for the construction of irreducible representations of the orthogonal group O(n) ⋮ Non-spurious harmonic oscillator states with arbitrary symmetry ⋮ Construction of hyperspherical functions symmetrized with respect to the orthogonal and the symmetric groups.

Cites Work

• Atomic Energy Relations. I
• Construction of Weight Spaces for Irreducible Representations of An, Bn, Cn, Dn
• An explicit formula for the calculation of fractional parentage coefficients

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