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math-ph2025★ 1 cited
Mixed symmetries of S_n: immanants in the sampling of U(d) submatrices
Jacob Daigle, Hubert de Guise, Trevor Welsh
We provide results on the mean and higher moments of immanants of submatrices of ensembles of Haar-distributed unitary matrices, mostly without proofs. This paper is based on a tal…
math-ph2019★ 2 cited
Correspondence rules for Wigner functions over SU(3)/U(2)
Alex Clesio Nunes Martins, Andrei B. Klimov, Hubert de Guise
We present results on the * product for SU(3) Wigner functions over SU(3)/U(2). In particular, we present a form of the so-called correspondence rules, which provide a differential…
math-ph2012★ 4 cited
Complementarity and phases in SU(3)
H. de Guise, A. Vourdas, L. L. Sanchez-Soto
Phase operators and phase states are introduced for irreducible representations of the Lie algebra su(3) using a polar decomposition of ladder operators. In contradistinction with…