Quantum 2D particle in an electromagnetic field

Simulation parameters

L

Bz: m²/q

|E⃗|: m²/q, θ: °

|E⃗|:

, θ:

(x₀, y₀): ( L, L)

x₀:

, y₀:

σ: L

|p⃗₀|: k, θ₀: °

|p⃗₀|:

, θ₀:

N:

dx: /m

dt: /m

This is a live simulation of a quantum particle in an electromagnetic field. In order to keep the controls relatively simple, right now it only supports uniform, constant fields. It utilizes an interesting numerical algorithm that is both explicit (don't need to solve algebraic equations like Crank-Nicholson), and unitary (probability is conserved and the simulation is unconditionally stable). For more information, see the project on GitHub. Below is a description of the parameters (note that we are using units where c=hbar=m=q=1):

Any changes to the parameters will not take effect until you click the "Reset" button.