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The Wigner supermultiplet model revisited. Analytical determination of internal labelling operators by means of contracted Casimir operators

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Campoamor Stursberg, Otto Ruttwig (2007) The Wigner supermultiplet model revisited. Analytical determination of internal labelling operators by means of contracted Casimir operators. Advanced Studies in Theoretical Physics, 1 (9-12). pp. 505-514. ISSN 1313-1311

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Official URL: http://www.m-hikari.com/astp/astp2007/astp9-12-2007/campoamorASTP9-12-2007


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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


Item Type:Article
Uncontrolled Keywords:Internal label, Casimir, contraction, supermultiplet
Subjects:Sciences > Physics > Quantum theory
ID Code:21251
Deposited On:08 May 2013 13:30
Last Modified:12 Dec 2018 15:13

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