On the Eigenvalues of the Invariant Operators of the Unitary Unimodular Group SU(n)
- 1 May 1972
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 13 (5) , 621-625
- https://doi.org/10.1063/1.1666026
Abstract
By a purely infinitesimal method we derive the eigenvalues of the Biedenharn's invariant operators from I2 to I6 for the SU(n) group. We show that the general formula, quoted from the Racah's work by Baird and Biedenharn, to obtain the eigenvalues of the invariant operators, is valid only for the two first I2 and I3 operators and not for the higher order invariants. We give the correct values for the first invariants till I6.Keywords
This publication has 10 references indexed in Scilit:
- Canonical Unit Adjoint Tensor Operators in U(n)Journal of Mathematical Physics, 1970
- Recent Progress Toward a Theory of Tensor Operators in the Unitary GroupsAmerican Journal of Physics, 1970
- Construction of invariants for simple lie groupsNuclear Physics, 1964
- On the Representations of the Semisimple Lie Groups. III. The Explicit Conjugation Operation for SUnJournal of Mathematical Physics, 1964
- S Theorem and Construction of the Invariants of the Semisimple Compact Lie AlgebrasJournal of Mathematical Physics, 1964
- Invariant quantities in semi-simple groups (II)Nuclear Physics, 1964
- On the Representations of the Semisimple Lie Groups. IIJournal of Mathematical Physics, 1963
- Invariant quantities in semi-simple groups (I)Nuclear Physics, 1963
- Invariant Operators of the Unitary Unimodular Group in n DimensionsJournal of Mathematical Physics, 1963
- On the Representations of the Semisimple Lie Groups. I. The Explicit Construction of Invariants for the Unimodular Unitary Group in N DimensionsJournal of Mathematical Physics, 1963