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N(4il+), +31-)). 1. Calculate the inner product z(+lk). Clearly show each step in your calculation, including C. Consider the same state vector Ix)- any use of orthonormality.2. Suppose this electron is sent through a Stern-Gerlach apparatus. Determine the probability that spin up in the z-direction would be measured in terms of N. Show your work. Determine the probability that spin down in the z-direction would be measured in terms of N. Show your work. 3. Determine the constant N. (Hint: What is the probability that either spin up or spin down in the z-direction would be measured?) 4. The constant N is usually called the normalization constant. Why is a state vector usually normalized? Explain. 5.

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0 state 4viN () all ponsible Valiu %

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