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Cambridge University Press eBooks

The Racah–Wigner Algebra in Quantum Theory

Lawrence C. Biedenharn, James D. Louck

Published Dec 28, 1984• 217 citations
Publisher
DOI
10.1017/cbo9781107340695.006

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Exact results for embedded Gaussian unitary ensemble of two-body interactions for fermions with spin [EGUE(2)-s] are derived using the Wigner-Racah algebra of the embedding U(2Ω)⊃U(Ω)⊗SU(2) algebra. Explicit formulas, for systems with m fermions and spin S, are given for the lower order cross correlations, between states with (m,S) and (m′,S′), generated by this ensemble and also, in terms of a SU(Ω) Racah coefficient, for the fourth order shape parameter for the fixed-(m,S) density of states.