x

The Schrodinger equation

\[ i\hbar \frac{\partial \Psi}{\partial t} = -\frac{\hbar^2}{2m} \frac{\partial^2\Psi}{\partial x^2} + V \Psi \]

The potential energy function:

\( V(x) = \)
\frac{1}{2}x^2
\(x \in [ \) , \( ] \)

\( V(x) = \)

(After solutions appear, move the slider to see different standing wave functions!)

The initial wave function:

\( \psi(x) = \)
4 - \frac{(x+4)^2}{4}
\(x \in [ \) , \( ] \)

\( \psi(x) = \)

(It will be normalized automatically)

t =

(animation speed: dt = )

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@ The Hornet's Nest