Applications of the Gel'fand-Moshinsky bases in unitary symmetry and its breaking
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1966-01-01
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Alcarás, J.A. Castilho
Navarro, V.C. Aguilera
Ferreira, P. Leal
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The Gel'fand-Moshinsky bases for the unitary irreducible representations of the SU3 group are applied to the unitary scheme for the classification of elementary particles and resonances. A unified method is given for the derivation of the matrix elements of the octet tensor operators in a way which makes transparent its application for other irreducible tensors. The results are given in a remarkably simple form. The systematic use of the basis provides a methodological alternative to the current tensorial methods.
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Journal of Mathematical Physics, v. 7, n. 2, p. 205-214, 1966.