Classical vs Quantum

A plot of $\mathbf{|\psi_{24}(x)|^2}$ (the quantum probability density) of the $\mathbf{n=24}$ eigenstate of the quantum SHO along with the classical probability density of the SHO with the same energy.

probdens24.jpg

The figure was generated using gunplot and the data generated by the following program.

One of my students (S. Sivaramakrishnan) has created an animated gif which cycles through the above plot for quantum numbers $n=1,\ldots,30$. If you wish to see it again, please reload the page.

harmonic_osc_animated.gif
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