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Spinors and SU(2)

  1. Aug 17, 2015 #1
    Hi, a fairly quick question. I'm reading Bruce Schumm's book "Deep Down Things" and he says that in SU(2) you have to rotate by 720 degrees to return to your starting point. This is clearly the same definition as a spinor. My question is, then, does rotation in SU(2) automatically imply the rotation of a spinor? Or is a spinor a special case of a rotation in SU(2)? Any help much appreciated.
  2. jcsd
  3. Aug 17, 2015 #2

    George Jones

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    A spinor is an object on which an element of SU(2) acts, just a physical 3-d vector is an object on which a normal rotation (element of SO(3)) acts.
  4. Aug 17, 2015 #3
    Thanks. So that appears to suggest that, yes, if you are rotating in SU(2) then your objects behave as spinors. Yes, that's surely correct.
    Last edited: Aug 17, 2015
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