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1. An electron is in the spin state

x= A(1-2i/2).

 

(a) Determine the constant A by normalizing x.

(b) If you measured Sz, on this electron, what values could you get, and what is the probability of each? What is the expectation value of Sz?

(c) If you measured Sx on this electron, what values could you get, and what is the probability of each? What is the expectation value of Sx?

(d) If you measured Sy on this electron, what values could you get, and what is the probability of each? What is the expectation value of Sy?

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