Length of spin vector for spin-½ particle

In summary, a spin-½ particle is a fundamental particle with a spin of ½, which is a quantum mechanical property. The length of its spin vector is √(3/4)ħ and is calculated using the Pauli matrices. This length is constant and does not change. The spin vector is significant because it determines the behavior and interactions of spin-½ particles with other particles.
  • #1
ghbeefcake
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Homework Statement
What's the length of a spin-½ spin vector in physical dimensions.
Relevant Equations
none
My answer so far in |S| = √3 /2 *hbar but the question states it must be an angular momentum. Is this an angular momentum or am I missing something? Thanks
 
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  • #2
##\hbar## has the dimensions of angular momentum.
 
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