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A electron spin in quantum mechanics is given by the superposition state:
∣Ψ⟩=i2∣↑⟩+32∣↓⟩.\large |\Psi\rangle = \frac{i}{2} |\uparrow\rangle + \dfrac{\sqrt{3}}{2} |\downarrow\rangle.∣Ψ⟩=2i∣↑⟩+23∣↓⟩.
What is the probability of measuring the spin in the zzz-direction to have value equal to −ℏ2-\dfrac{\hbar}{2}−2ℏ?
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