How Does Resizing an Infinite Square Well Affect Ground State Probability?

[cragar]

Homework Statement

we have a particle in an infinite square well from x=0 to x=L/2
Then it says that we suddenly move the right hand side of the wall to x=L
and then it asks to find the probability that the particle is in the ground state of the widened well.

The Attempt at a Solution

Would I first find the wavefunction for the narrow well and then normalize it, and then normalize this again for the wider well.

 

[Dick]

Are you sure they didn't specify the state of the particle in smaller square well? Did they say it's in the ground state of the smaller well? You certainly need to know that before you can compute the overlap with the ground state in the larger square well.

 

[cragar]

ya sorry they said it was in the ground state of the smaller well and they gave me the wave function for it.