Structural properties of the canonical U(3) Racah functions and the U(3) : U(2) projective functions
- 1 December 1975
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 16 (12) , 2408-2426
- https://doi.org/10.1063/1.522481
Abstract
The class of U(3) Racah functions which are identically zero are determined from the canonical splitting of the multiplicity. These results imply the form of a special class of (projective) tensor operators. The function Gq associated with the ’’stretched’’ (maximal null space) Wigner operator is generalized and shown to be applicable in determining the denominator for the minimal null space operator.Keywords
This publication has 14 references indexed in Scilit:
- Summation relation for U(N) Racah coefficientsJournal of Mathematical Physics, 1974
- Wigner and Racah coefficients for SU3Journal of Mathematical Physics, 1973
- On the structure of the canonical tensor operators in the unitary groups. III. Further developments of the boson polynomials and their implicationsJournal of Mathematical Physics, 1973
- On the structure of the canonical tensor operators in the unitary groups. II. The tensor operators in U(3) characterized by maximal null spaceJournal of Mathematical Physics, 1972
- On the structure of the canonical tensor operators in the unitary groups. I. An extension of the pattern calculus rules and the canonical splitting in U(3)Journal of Mathematical Physics, 1972
- On the Evaluation of the Multiplicity-Free Wigner Coefficients of U(n)Journal of Mathematical Physics, 1972
- On the 27-plet unitary symmetry operatorAnnals of Physics, 1970
- Canonical Unit Adjoint Tensor Operators in U(n)Journal of Mathematical Physics, 1970
- A pattern calculus for tensor operators in the unitary groupsCommunications in Mathematical Physics, 1968
- On the Representations of the Semisimple Lie Groups. IV. A Canonical Classification for Tensor Operators in SU3Journal of Mathematical Physics, 1964