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## Homework Statement

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

## Homework Equations

## The Attempt at a Solution

Again no progress on this one, i have no idea, thank you in advance for any help offered.