- #1

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The spin wavefunctions are symmetric on exchange of spins for the spin 3/2 states. These states include:

[tex]|\uparrow \uparrow \uparrow \rangle [/tex]

and [tex]|\uparrow \uparrow \downarrow \rangle + |\uparrow \downarrow \uparrow \rangle + |\downarrow \uparrow \uparrow \rangle [/tex]

How is the second wavefunction a state for a spin 3/2 particle? I thought the spin is 1/2 + 1/2 - 1/2 = 1, so the measured spin can be 1, 0 or -1?