Probability Density Distribution for Electron Scattering

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

This Demonstration shows the scattering of the quantum-mechanical probability distribution for a particle scattered by a rigid cylinder, starting from a Gaussian state. Interference phenomena are exhibited as the number of time steps is increased.

Contributed by: Enrique Zeleny (December 2012)
Based on a program by: Paul Nylander
Open content licensed under CC BY-NC-SA



To solve this Schrödinger equation, we use the finite-difference Crank–Nicolson method, incrementing the time variable in steps of .


[1] Wikipedia. "Crank–Nicolson Method." (Dec 2, 2012)

[2] B. Thaller, Visual Quantum Mechanics, New York: Springer-TELOS, 2000.

Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.