I am trying to solve for the energy of 2 non-interacting identical particles in a 1D infinite potential well. I want to do it as much "from scratch" as possible, making sure I fully understand every step.
H = -ħ2/2m * (∂2/∂x12 + ∂2/∂x22)
Hψ=Eψ
∂2ψ/∂x12 + ∂2ψ/∂x22 = kψ, where k=-2mE/ħ2
I got...