Internal-labeling operators
- 1 October 1975
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 16 (10) , 2050-2053
- https://doi.org/10.1063/1.522437
Abstract
A simple method is described for finding all possible ’’missing label’’ operators when a semisimple group is reduced according to a maximal semisimple subgroup. The operators may be chosen to be Hermitian and hence lead to an orthonormal basis. The solution is worked out for all seven cases of one missing label. In each case two independent subgroup scalars are found in the enveloping algebra of the group; either of them can be used as the missing label.This publication has 13 references indexed in Scilit:
- Complete sets of commuting operators and O (3) scalars in the enveloping algebra of SU (3)Journal of Mathematical Physics, 1974
- Internal Labeling and the Group G2Journal of Mathematical Physics, 1972
- SU(4)⊃SU(2)⊗SU(2) Projection TechniquesJournal of Mathematical Physics, 1970
- O(5) Bases for Nuclear Seniority ModelJournal of Mathematical Physics, 1970
- Internal-Labeling ProblemJournal of Mathematical Physics, 1969
- Bases for the Representations of U4 in the Chain U4⊃U2+U2Journal of Mathematical Physics, 1968
- ON THE DEGENERACY PROBLEM IN SU(3)Canadian Journal of Physics, 1966
- Complete classification of states of supermultiplet theoryPhysics Letters, 1963
- Group theory of harmonic oscillators (II). The integrals of Motion for the quadrupole-quadrupole interactionNuclear Physics, 1961
- Collective motion in the nuclear shell model. I. Classification schemes for states of mixed configurationsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1958