Probability Density Distribution for Electron Scattering
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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 .
 Wikipedia. "Crank–Nicolson Method." (Dec 2, 2012) en.wikipedia.org/wiki/Crank-Nicolson_method.
 B. Thaller, Visual Quantum Mechanics, New York: Springer-TELOS, 2000. vqm.uni-graz.at.
"Probability Density Distribution for Electron Scattering"
Wolfram Demonstrations Project
Published: December 3 2012