In: Physics
Consider a particle of mass ? in an infinite square well of width ?. Its
wave function at time t = 0 is a superposition of the third and fourth energy
eigenstates as follows:
? (?, 0) = ? 3i?3(?)+ ?4(?)
(Find A by normalizing ?(?, 0).)
(Find ?(?, ?).)
Find energy expectation value, <E> at time ? = 0. You should not need to evaluate any integrals.
Is <E> time dependent? Use qualitative reasoning to justify.
If you measure E at time ?, what values are possible and what are their probabilities?
Please answer all parts of the question, show all work, write legibly, and explain your reasoning! :)