Question

[20 points] A particle in the simple harmonic oscillator potential with angular frequency a is initially in the ground state: c,y, (x) =Yo(x Att = 0 , the angular frequency of the oscillator suddenly doubles: a} → a½-2.4 The initial wave function can be written in terms of the modified potential (denoted with a tilde:~: Recall that the general form of the first few stationary states for the harmonic oscillator are given on page 56 of your text. a. What is the probability that a measurement of the particle's energy at 0 will return the modified ground state energy E? b. Repeat (a) for E, and E2. What is the probability of getting any energy above the first three states?

Answer 1

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