Question 1 A beam of spin-1/2 particles are prepared in the following quantum state: 3)= |+)+...

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Question 1 A beam of spin-1/2 particles are prepared in the following quantum state: 3)= |+)+ 2/4|)- (1) Answer the following questions. 1. Normalise this quantum state vector. 2. What are the possible results of a measurement of the spin component S, and with what probabilities do they occur? 3. Calculate the expectation value (S) and the uncertainty AS, for this state. How does this quantity relate to your answer to Part 2 of this question? Hint: Make sure you write the vector in the correct basis! 4. What are the possible results of a measurement of the spin component S., and with what probabilities do they occur? 5. Calculate the expectation value (S2) for this state. Question 1 A beam of spin-1/2 particles are prepared in the following quantum state: 3)= |+)+ 2/4|)- (1) Answer the following questions. 1. Normalise this quantum state vector. 2. What are the possible results of a measurement of the spin component S, and with what probabilities do they occur? 3. Calculate the expectation value (S) and the uncertainty AS, for this state. How does this quantity relate to your answer to Part 2 of this question? Hint: Make sure you write the vector in the correct basis! 4. What are the possible results of a measurement of the spin component S., and with what probabilities do they occur? 5. Calculate the expectation value (S2) for this state.