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Stern Gerlach Spin 3/2, Quantum Mechanics

  1. Mar 16, 2015 #1
    1. The problem statement, all variables and given/known data
    Just trying to find the spin 3/2 rotation matrix, i've found spin 1/2 and spin 1. This isn't a homework problem just studying some other spins.
    2. Relevant equations
    For spin 1/2: Rn(Φ) = cos(Φ/2)1ˆ − isin(Φ/2)σn

    For spin 1: Un(Φ) = e −iΦSn = 1ˆ − isin(Φ) · Sn − (1ˆ − cos(Φ)) · (Sn) 2

    So what is it for spin 3/2? I can't figure out the rotation matrix.

    3. The attempt at a solution
    Spin 3/2 will be a 4x4 matrix because it has 4 beams (2s+1). However I can't figure it out...

    I worked out 1/2 and 1 could someone work out 3/2?
  2. jcsd
  3. Mar 16, 2015 #2


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    You need to provide us with your attempt at doing it in the case of the 4-dimensional representation. Show us what you tried and we may be able to steer you in the right direction.
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