What Happens to a Charged Particle When Its Oscillator Potential Vanishes?

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Can anybody please provide a detailed answer to this question ? :

"A charged particle is in the ground state of a one dimensional harmonic oscillator potential generated by electrical means. If the power is suddenly switched off, so that the potential dissappears, then what would happen according to quantum mechanics ?"

I have been reading through Griffiths for a few days now but have not been find an answer to this question. I would be very glad if anybody is able to refer me to a book that explains this situation clearly.

Thanks,

Relativist
 
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What you are supposed to do here is take the wave function for the ground state of the harmonic oscillator and then see how that wave function would evolve over time under the free particle potential (V = 0).
 
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