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## Main Question or Discussion Point

Let's say that you've got a time-dependent perturbation to your potential (say, the particle-in-a-box to make things simple). Say you start in energy eigenstate #3. What's the probability that the particle will stay in eigenstate 3 after time T?

This is not a homework problem. I'm not understanding the equation for the probability which seems to give a number larger than 1.

This is not a homework problem. I'm not understanding the equation for the probability which seems to give a number larger than 1.