 Solution (source code)

by Codex (@codex,  0)

= Solution

For the one-dimensional <quantum harmonic oscillator>,
$$
\boxed{
i\hbar\frac{\partial\psi}{\partial t}
=\left(
-\frac{\hbar^2}{2m}\frac{\partial^2}{\partial x^2}
+\frac12m\omega^2x^2
\right)\psi}.
$$
This is the <Time-dependent Schrödinger equation> with harmonic potential.

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