Quantum tunneling visualization, including Mathematica code @animations_ag

Uploaded June 2014 | Updated September 2026, 2 weeks ago

Simple finite difference solution of a propagating Gaussian wavepacket developed in Mathematica, here illustrating the tunneling effect through a rectangular potential barrier. See comment for code and of course feel free to modify it. Enjoy!

Quantum tunneling visualization, including Mathematica code

Gravity inside and outside a spherical shell

$Light ray hitting an elliptic water drop Shown is a white light ray hitting an elliptic water drop at a relatively large incident angle, where refraction generates one or more rainbows. When the light is transmitted such that it passes between a focal point and the boundary the light may be subject to total internal reflection before leaving the water drop. Such a total reflection cannot occur when the light ray enters the drop such that it passes between the focal points. Except for the final part, the Fresnel equations are used to determine the reflection coefficient at the water-air boundary. In the final part all rays have the same intensity, being certainly unrealistic, although visually quite spectacular, and further emphasising some familiar ellipse billiard properties. The music is made by @gpcbass specifically for this video, and a bit too cool for the visuals. Its a reproduction of the song No No No originally made by Tribal Tech from the album Nomad, 1988. The visual part is made using Python and FFmpeg.$

Rigid body moose dropped in a moose contour

Millions of particles forming cardioid caustics in a circle billiard

$Mandelbrot set: simple equation - complex boundary Some standard basics regarding the famous Mandelbrot set fractal are presented. Needed prior knowledge is familiarity with complex numbers. Dope music by @gpcbass. Song is called Polar_mist and made today specifically for this video. Visuals in Python & FFmpeg.$

How cats actually land (slo-mo softbody)

Painting a butterfly with the butterfly effect

Alexander Gustafsson |

Quantum tunneling visualization, including Mathematica code