Consider a particle of mass ? in an infinite square well of width ?. Its wave...

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! :)

Solutions

Expert Solution

genius_generous answered 1 year ago

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