construct ψ(x,t)^(2) where ψ(x,t) = 1/5(3ψ_0(x)e^(-iE_0t/ħ)+4ψ_1(x)e^(-iE_1t/ħ). I know we square it but we have to find E_0 and E_1 and put it in.
E_n = (ħ^(2)k_n^(2))/2m = (n^(2)π^(2)ħ^(2))/2ma^(2)
The Attempt at a Solution
E_0 = 0 and E_(1) = (1π^(2)ħ^(2))/2ma^(2)
Proper solution: E_0 = ħω/2 and E_1 = 3ħω/2