Find the eigenvalues and eigenstates of the spin operator S of an electron in the direction
of a unit vector n; assume that n lies in the xz plane.
S|m>= h m|m>
The Attempt at a Solution
This question is from Zettili QM and they have written:
n.S|m>= (h/2) m|m>
I do not understand why are they taking a half.
If I take m=1/2 in S|m>= (h/2) m|m>, I get h/4 but the answer should be h/2, by using S|m>= h m|m>.
So where am i going wrong?