Hofstadter's Quantum-Mechanical Butterfly

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This Demonstration shows the quantum\[Hyphen]mechanical energy spectrum of an electron in a two-dimensional periodic potential with a perpendicular magnetic field. The fractal nature of this system was discovered by Douglas Hofstadter in 1976.

Contributed by: Enrique Zeleny (July 2012)
Open content licensed under CC BY-NC-SA


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