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Some empirical formulae for the degeneracy separation in the Clebsch-Gordan problem of ${\mathfrak{s}}{\mathfrak{u}}(3)$

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, , Citation R. Campoamor-Stursberg 2019 J. Phys.: Conf. Ser. 1194 012019 DOI 10.1088/1742-6596/1194/1/012019

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rutwig@ucm.es

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1 Instituto de Matematica Interdisciplinar and Dpto. Geometría y Topología, Universidad Complutense de Madrid, Plaza de Ciencias 3, E-28040 Madrid, Spain

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1742-6596/1194/1/012019

Abstract

We propose an algorihmic prescription to isolate degenerate multiplets in the tensor product of irreducible ${\mathfrak{s}}{\mathfrak{u}}(3)$-representations based on external labelling operators and illustrate how to obtain empirical formulae for their eigenvalue spectrum, allowing a degeneracy separation.

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10.1088/1742-6596/1194/1/012019