On the Wigner coefficients of Sp(4) and SO(5)
- 1 April 1973
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 14 (4) , 440-447
- https://doi.org/10.1063/1.1666336
Abstract
The matrix elements of totally symmetric tensor operators in Sp(4), the spinor covering group of SO(5), are obtained by direct factorization of the corresponding Sp(4) * Sp(4) matrix element. The general Sp(4) * Sp(4) matrix element is factorized, and coefficients are obtained which possess a degree of symmetry higher than that of the canonical Wigner coefficients of Sp(4), but which do not form an orthonormal set in the multiplicity space. The canonical Wigner coefficients can, in principle, be derived from those obtained in different ways by a Schmidt orthogonalization process.Keywords
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