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 …

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