Asymptotic limits of SU(2) and SU(3) Wigner functions

Citation
Dj. Rowe et al., Asymptotic limits of SU(2) and SU(3) Wigner functions, J MATH PHYS, 42(5), 2001, pp. 2315-2342
Citations number
33
Categorie Soggetti
Physics
Journal title
JOURNAL OF MATHEMATICAL PHYSICS
ISSN journal
00222488 → ACNP
Volume
42
Issue
5
Year of publication
2001
Pages
2315 - 2342
Database
ISI
SICI code
0022-2488(200105)42:5<2315:ALOSAS>2.0.ZU;2-D
Abstract
Asymptotic limits are given for the SU(2) Wigner D-mn(j) functions as j --> infinity for three domains of m and n. Similar asymptotic limits are given for the SU(3) Wigner functions of an irrep with highest weight (lambda ,0) as lambda --> infinity. The results are shown to be relevant to the analys is of experiments with quantum interferometers. (C) 2001 American Institute of Physics.