Uploaded September 2021 | Updated September 2026, 2 weeks ago
A quantum particle passing a nano-scale maze is shown.
The probability distribution, an initially prepeared Gaussian, is displayed at a log scale, and the plot range is clipped to properly cover the large difference between low and high probability regions. Violet/blue is high probability and red is low.
.svg file downloaded from svgrepo.com
The music is well known for recurring viewers. @gpcbass made a superb interpretation of the song Stella by Starlight earlier this spring, and is herein reused. The full version can be found here: youtube.com/watch?v=iaxV6lG6uqg
A quantum particle passing a nano-scale maze is shown.
The probability distribution, an initially prepeared Gaussian, is displayed at a log scale, and the plot range is clipped to properly cover the large difference between low and high probability regions. Violet/blue is high probability and red is low.
.svg file downloaded from svgrepo.com
The music is well known for recurring viewers. @gpcbass made a superb interpretation of the song Stella by Starlight earlier this spring, and is herein reused. The full version can be found here: youtube.com/watch?v=iaxV6lG6uqg
![Fourier expansion of simple geometries [+MWE Python code]](https://i.ytimg.com/vi/V6bQoEjnCKk/mqdefault.jpg "Fourier expansion of simple geometries [+MWE Python code]
Shown is some simple geometries drawn by epicycles, i.e., represented by Fourier series. See pinned comment for a minimal working example code (Python).
The ellipse of course only needs two rods to coincide with the exact solution. However, I was a bit surprised that the square and the triangle were so well approximated using only two rods. When representing the three (disconnected) geometries by a single basis set the number of basis functions must be large. The discontinuities naturally induce Gibbs phenomenon. Ive cheated a bit here, and removed a small portion of the traces in connection with the discontinuities.
Reuse of the fantastic song Vanessa, made by @gpcbass. See https://www.youtube.com/watch?v=yE8G0kmfzjc for the full version.")
