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**1. Homework Statement**

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. Homework 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?