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SOLVED:Consider an electron whose spin direction is located in the x y plane. (a) Find the eigenvalues (call them λ1, λ2 ) and eigenstates (|λ1⟩,|λ2⟩) of the electron's spin operator S⃗. (b) Assuming that the initial state of the electron is given by |ψ0⟩=(1)/(3)|λ1⟩ (2 √(2))/(3)|λ2⟩find the probability of obtaining a value of Ŝ=-ħ/ 2 after measuring the spin of the electron.
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