Probability Density Distribution for Electron Scattering

Requires a Wolfram Notebook System

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

Requires a Wolfram Notebook System

Edit on desktop, mobile and cloud with any Wolfram Language product.

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


Snapshots


Details

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

References

[1] Wikipedia. "Crank–Nicolson Method." (Dec 2, 2012) en.wikipedia.org/wiki/Crank-Nicolson_method.

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



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.
Send