A method for obtaining symmetrized representations of SU(2)×SU(2) and the rotation group SO(4)
- 21 November 1974
- journal article
- Published by IOP Publishing in Journal of Physics A: Mathematical, Nuclear and General
- Vol. 7 (17) , 2095-2100
- https://doi.org/10.1088/0305-4470/7/17/003
Abstract
A formula is obtained by which any symmetrized power of (j1,j2) may be expressed in terms of symmetrized powers of representations belonging to lower j values. In particular formulae are obtained for (1/2,J)(X)(2) and (1,J)(X)(2). The method is generalized to cover groups of the form SU(2)*SU(2)*...(r times). This problem has application to the L-S coupling shell model of nuclear physics.Keywords
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- Methods for obtaining symmetrized representations of SU(2) and the rotation groupJournal of Physics A: Mathematical, Nuclear and General, 1974