Belt trick for spin 3/2


Dirac's belt trick models the behaviour of spin 1/2 particles.
When turning the end of the belt (the particle) by 4 pi,
the belt can be untwisted even while keeping the particle fixed.

Is there an analogous trick for spin 3/2? It seems that this would
imply rotations by 2 pi/3. What object would one have to take
(instead of the belt) to get a "spin 3/2 trick"?

Frank

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Relevant Pages

  • Re: Belt trick for spin 3/2
    ... the belt can be untwisted even while keeping the particle fixed. ... Is there an analogous trick for spin 3/2? ...
    (sci.physics.research)
  • Re: Belt trick for spin 3/2
    ... As I am discriminated on sci.physics.research by the moderators Herr Phillip ... consequence because the belt is very thin. ... he can not observe what the belt trick is about. ... with a fixed axis is performed, which corresponds to a subgroup SOU. ...
    (sci.math)
  • Re: Belt trick for spin 3/2
    ... I get the impression that this is not the usual belt trick: ... the analogue construction for spin 3/2 ... to a spin 3/2 representation instead of spin 1/2. ... When we change, i.e. rotate, the orthonormal frame ...
    (sci.physics.research)
  • Re: GE washer wont spin or agitate
    ... but it doesn't agitate or spin. ... > power to the pump motor so as to minimize competing noise), ... the belt does not spin. ... > We're in the boonies, where repair techs are hard to come by, so we ...
    (alt.home.repair)
  • Re: Belt trick for spin 3/2
    ... in Dirac's belt trick. ... Topologically, this is SO3, the 3D rotations ... This is a closed loop in SO3, ... Now, the belt. ...
    (sci.physics.research)