Abstract
``Euler'' decomposition for SU(3) has been found by analytic continuation from the ``Euler'' decomposition of SU(2, 1), which is based on the factorization SU(2, 1) = SU(2) × Au × A × SU(2) derived by Hillion [Au ∼ U(1) and A is one-parameter subgroup of the V-spin subgroup.] For the degenerate case the SU(3) representation functions can be found by transforming to a new basis where the V-spin subgroup is diagonal. The result is a sum of products, each product containing two D-functions, one d-function, and an exponential function exp [imχ]. As is well known, every representation D(p, q) can be reduced from the direct product D(p, 0) × D(q, q). The nondegenerate representation functions can then be directly written down using the SU(3) CG coefficients, which are relatively simple for the above-mentioned case.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
