Time-Dependent $$ i\hbar \frac{\partial}{\partial t}|\psi(t)\rangle = \hat{H}|\psi(t)\rangle $$ Time-Independent For stationary states: $$ \hat{H}|\psi\rangle = E|\psi\rangle $$ 1D Position Space $$ -\frac{\hbar^2}{2m}\frac{d^2\psi}{dx^2} + V(x)\psi = E\psi $$ Python (Numerical Solution) 1import numpy as np 2from …