The Wigner supermultiplet model revisited. Analytical determination of internal labelling operators by means of contracted Casimir operators
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2007
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Hikari
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Abstract
We prove that the missing label operators for the state labelling problem in the Wigner supermultiplet model su(2)×su(2) � su(4) can be solved naturally without explicitly using enveloping algebras. Considering a contraction of Lie algebras naturally associated to the reduction chain su(2)×su(2) ,! su(4), we recover the Moshinsky-Nagel operators as functions of the Casimir operators of su(4), the spin-isospin subalgebra and the corresponding inhomogeneous contraction