The stationary schrodinger equation for a particle moving in a potential well has 2 solutions
psi_1 (x) = e^(-ax^2), with Energy, E_1, and
psi_2 (x) = xe^(-ax^2) with Energy, E_2.
At t = 0 the particle is in the state
psi(x) = psi_1(x) + psi_2(x)
a)Calculate the probability distribution for the particle as a function of time
b)Find the time at which the probability distribution returns to the initial value
The Attempt at a Solution
Again no progress on this one, i have no idea, thank you in advance for any help offered.