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An infinite square well has a particle of mass m that is in a state |├...

An infinite square well has a particle of mass m that is in a state |├ ψ(0)〉=A(├ |1〉-├ |2〉+├ i|3〉) at time t=0. The kets ├ |1〉,├ |2〉, and ├ |3〉 correspond to the first three energy eigenstates of the infinite square well. Find the normalized state vector. What are the energy measurement outcomes and their probabilities? What is the energy expectation value? What is the normalized state vector at time t? What are the energy measurement outcomes and their probabilities at time t=ℏ/E_3?

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