I am still learning about all the Groups related to the Dirac Equation for spin 1/2 particles. Apparently, the reason that the Hilbert Space for spin 1/2 particles is 2-dimensional is because when you try to map SU(2) to SO(3), the mapping is 2-to-1, i.e. SU(2) is a double cover for SO(3).(adsbygoogle = window.adsbygoogle || []).push({});

What about spin 1 particles. The spin vector space for those particles is 3-dimensional. Does that mean that SU(3) maps to SO(3) 1-to-1?

As usual, thanks in advance.

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# SU(3) for Spin 1 Particles?

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