Quantum simulation of a particle scattering in a lattice

The video shows a quantum simulation made by solving the Schrödinger equation for a particle scattering in three different lattices. It can be seen that despite the complex behavior within the periodic lattice, the diffracted wavefunction at the output is well resolved, a well-known fact in electron crystallography. This made QMsolve, an open-source python open-source package for visualizing and solving the Schrödinger equation. You can find the simulator used here: In the visualization, the color hue shows the phase of the wave function of the particle ψ(x,y), while the opacity shows the amplitude. More quantum simulations made with QMsolve: The beautiful music is provided by @gpcbass and was initially made for this video: It is called “Spectrum“. #SchrödingerEquation #QuantumPhysics #QMsolve