Starting with the SU(2)q⊗SU(2)q basis and using q‐CG coefficients the closest possible q deformation of the classical canonical Gelfand–Zetlin formalism is constructed explicitly for SO(4)q. Simple introduction of q brackets for each factor of the classical matrix elements, valid for SU(n)q, is shown to need significant and unexpected modifications for SO(n)q even when n=4. Contraction to E(3)q and continuation to SO(3,1)q are studied, making explicit the possibilities and the problems that arise. Periodic representations for q, a root of unity, are commented upon briefly.
Topics
Clebsch-Gordan coefficients
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© 1993 American Institute of Physics.
1993
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