Quantum moose billiard @animations

Uploaded January 2023 | Updated September 2026, 2 weeks ago

Actually three different runs. In each a wave function (plotted absolute squared) evolves in a quantum well formed as a moose. The discrete domain is approx. 1400x1400 lattice points.

Visuals done with Python and FFmpeg.

Music by @gpcbass; a song used many times before on this channel. A reproduction of the absolutely brilliant composition "Jesus bleibet meine Freude", originally made by J S Bach almost 300 years ago. See youtube.com/watch?v=MVsiOKTaCdw and youtube.com/watch?v=WC08VRTqKj0.

svg file downloaded from svgrepo.com

The different runs:

1. Circularly constrained wave packet ("hockey puck") aggressively log plotted, i.e., dark but non-zero probability means really low probability.

2. Gaussian wave packet plotted normally, but colour clipped to emphasise low probability regions.

3. Similar as 2.

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$Quantum Gaussian wave packet shot through a lens Shown is a Gaussian wave packet, evolving according to the Schrödinger equation, propagating through a convex and a concave potential landscape. The refraction phenomena seen here actually resembles the classical optical results. Done in Python and FFmpeg. Music by @gpcbass. The song is a refreshed version of a 30 years old song, called Eskil Blues, specifically made for this video.$

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$Snowfall in a quantum snowflake In lack of own ideas I steal others. Recently Ive seen several cool videos showing waves propagating in a von Koch snowflake fractal, e.g. by @Maciej Matyka and @Nils Berglund. Plus a blizzard (in local measures) hit my geographical region today. The real space domain at which the snowflake fractal is defined has a resolution of 2000x2200. Herein a localised wave packet evolves. For the first half, a quite odd wave packet is used. Its a Gaussian clipped to be identically zero outside a specific radius. Upon evolving in time, this wave packet pushes out some high momentum states associated with the abrupt edge of the wave packet. Further, this part is plotted at a log scale. In the second half, an ordinary Gaussian wave packet evolves similarly. Music by @gpcbass. The song has been used in another video on this channel. The song is a reproduction of a song called Caramba which originates back to 1991, then performed by the eminent Swedish orchestra Svef Tarkel in which @gpcbass played the bass.$