New perspective on the U(n) Wigner-Racah calculus. II. Elementary reduced Wigner coefficients for U(n)
- 1 October 1987
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 20 (14), 4613-4635
- https://doi.org/10.1088/0305-4470/20/14/009
Abstract
For pt.I, see ibid., vol.20, no.9, p.2241-50 (1987). Exploiting the powerful formalism of the vector coherent state theory expounded in part I, the group theoretical content of the complementarity principle and a novel interpretation of the operator pattern of Biedenharn and Louck, the authors rederive in a simple fashion all U(n): U(n-1) reduced Wigner coefficients for the elementary U(n) tensors.Keywords
This publication has 20 references indexed in Scilit:
- New perspective on the U(n) Wigner-Racah calculus. I. Vector coherent state theory and construction of Gel'fand basesJournal of Physics A: General Physics, 1987
- Canonical orthonormal Wigner supermultiplet basisJournal of Physics A: General Physics, 1987
- On the denominator function for canonical SU(3) tensor operatorsJournal of Mathematical Physics, 1985
- A simple class ofU(N) Racah coefficients and their applicationCommunications in Mathematical Physics, 1975
- 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
- A pattern calculus for tensor operators in the unitary groupsCommunications in Mathematical Physics, 1968
- Canonical Definition of Wigner Coefficients in UnJournal of Mathematical Physics, 1967
- Strict LocalizationJournal of Mathematical Physics, 1963
- On the Representations of the Rotation GroupReviews of Modern Physics, 1962