A particle is in the ground state of the harmonic oscillator with classical frequency ω, when suddenly the spring constant quadruples, so ω′ without initially changing the wave function (of course, ψ will now evolve differently, because the Hamiltonian has changed). What is the probability that a measurement of the energy would still return the value hω/2? What is the probability of getting hω? [Answer: 0.943.]
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