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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

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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.

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