Question: 7. For a simple harmonic oscillator the initial state (t = 0) is given by the following function of wave v(x, 0) = V1

7. For a simple harmonic oscillator the initial state (t = 0)

7. For a simple harmonic oscillator the initial state (t = 0) is given by the following function of wave v(x, 0) = V1 |a|?Ea*ox(x), k=0 O: (x) are the autofunctions of the harmonic oscillator and a is a complex parameter whose modulus is less than 1. (a) Find the wave function for t > 0. (b) Calculate the probability of finding the system in the initial state in an instant t > 0.

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