The hexagonal quantum billiard: real part of the wave function
Channel: Nils Berglund
Date: 2021-05-17

A solution to Schrödinger's equation in a hexagonal domain. Unlike previous simulations on this channel, this one shows the real part of the wave function, in order to highlight the wavelike behavior. We will see other representations later this week. The initial state is a Gaussian wave packet located at the center of the hexagon, with a momentum pointing upward, so that the wave packet becomes scattered by the top corner of the hexagon.

Music: "Delta Wave", by Asher Fulero@AsherFulero

The simulation solves the Schrödinger equation by discretization. 
The C code will be published later on https://github.com/nilsberglund-orleans/YouTube-simulations
https://www.idpoisson.fr/berglund/software.html 
Many thanks to my colleague Marco Mancini for helping me to accelerate my code!

You may be interested in some science outreach articles: https://images.math.cnrs.fr/_Berglund-Nils-1343_.html