A quantum Penrose unilluminable room @animations_ag
A quantum Penrose unilluminable room  @animations_ag
Uploaded September 2021 | Updated September 2026, 2 weeks ago
A quantum version of a Penrose unilluminable room, where a wave packet starts in one of the "pockets".

Inspiration: A comment in one of my older videos (youtube.com/watch?v=h3Z6od3Yx74) by @rocker223rock, and @Nils Berglund who has done the same with waves and particles.

Background: From the comment cited above I didn't think this was possible to achieve an unilluminable spot in a complicated "maze-like" room with a Schrödinger evolved wave packet due to the dispersive behaviour of the SE solutions. However, when I found the simpler room geometry (Ellipse/mushroom) in one of Nils's videos, I had to give it a try. The "light" manifestly appears to pretty well stay in the top half of the room; however, there is a slight leakage to the bottom half. This must be a result of the dispersion, possibly combined with some numerical artefacts.

The song is made by @gpcbass, and used in others of my visuals. It's a remake of the very old "Fjäriln vingad" originally composed by Bellman.
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A quantum Penrose unilluminable room

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