The boson polynomials of Gelfand basis and the analytic expression of Wigners coefficients with multiplicity for the canonical basis of unitary groupsReport as inadecuate




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Abstract : In this paper we present the generating function method for the derivation of bosons polynomials of Gel-fand basis and Wigner coefficients for the canonical basis of SUn. We find a new analytic polynomial basis of SU4 with the exact number of summations, five only. We find also a new algebraic expression of Wigner coefficient with multiplicity for the canonical basis and the isoscalors factors of SU 3 with only. three summations.

Keywords : unitary groups multiplicity Gel-fand basis Wigner-s coefficients canonical basis





Author: Mehdi Hage-Hassan -

Source: https://hal.archives-ouvertes.fr/



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