- #1
Cadenzie
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Homework Statement
A particle is in the ground state of a harmonic oscillator with classical frequency w. Suddenly the classical frequency doubles, w -> w' = 2w without initially changing the wavefunction. Instantaneously afterwards, what is the probability that a measurement of energy would still return the value h'w/2? (where h' denotes h-bar).
Homework Equations
Earlier in the question, I had to show that H = (a'*a + 1/2)h'w where a' and a are the creating and annihilation operators, respectively. Also, En = (n+1/2)h'w for a harmonic oscillator.
The Attempt at a Solution
I'm honestly not at all sure how to approach this; my instinct would be to say that it has a probability of 0, but that seems unlikely.