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the question is:

a particle of mass m is confined in a 1-d box of width L in the third excited state.

a) suppose the width of the box is suddenly doubled. find the probability that the particle remains in the same state.

b) calculate the prob that the particle drops to ground state when size is doubled.

c) calculate the probability that the particle initially in ground state remains in round state when size of box is reduced to L/2

i have no idea where to start on this and any help would be great