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The spin operator
S
z
=
(
ℏ
/
2
)
σ
z
S_z = (\hbar/2) \sigma_z
S
z
=
(
ℏ/2
)
σ
z
, where
σ
z
\sigma_z
σ
z
has eigenvalues
+
1
+1
+
1
(for
∣
0
⟩
|0\rangle
∣0
⟩
) and
−
1
-1
−
1
(for
∣
1
⟩
|1\rangle
∣1
⟩
). With
ℏ
=
1
\hbar = 1
ℏ
=
1
, what is the
S
z
S_z
S
z
eigenvalue of the spin-up state
∣
0
⟩
|0\rangle
∣0
⟩
?
🔬 try it before you answer
0.5
1
0.25
-0.5
Check answer