Abstract
In this chapter, the GUE version of embedded ensembles (EGUE), both for fermion and boson systems, are considered and results from the Wigner-Racah algebra of the Lie algebras defining the embedding are presented. In particular, given is the general formulation for the lower order moments of the one- and two-point functions for the ensembles with U(Ω)⊗SU(r) embedding and random two-body Hamiltonians with SU(r) symmetry. Results from this formulation are presented with examples for fermion systems with r=1, 2 and 4 and similarly, for boson systems with r=1, 2 and 3. In addition, results for the general spinless EGUE(k) and BEGUE(k) are also presented.
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Kota, V.K.B. (2014). Embedded Gaussian Unitary Ensembles: Results from Wigner-Racah Algebra. In: Embedded Random Matrix Ensembles in Quantum Physics. Lecture Notes in Physics, vol 884. Springer, Cham. https://doi.org/10.1007/978-3-319-04567-2_11
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DOI: https://doi.org/10.1007/978-3-319-04567-2_11
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