Quantum wave resembles classical trajectory @animations

Uploaded October 2021 | Updated September 2026, 2 weeks ago

A qualitative correspondence between classical and quantum mechanics is demonstrated in an ellipse billiard.

Music by @gpcbass. It's a remastered and finished old recording from 1995, called SEQ 1.

Quantum wave resembles classical trajectory

N-body simulation: A stone cloud and a planet

Similar colors attract: from triceratops to rainbow sausage

Butterfly-effect simulation using 500 double pendulums

5000 balls falling in a circle and a parabola, plus a cute bug

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 Its a reproduction of the song No No No originally made by Tribal Tech from the album Nomad, 1988.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