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Transcript
Solving the Schrödinger Equation on a 2D Lattice in Quantum Wave Interference (QWI)
PhET
Sam Reid
Quantum Wave Interference allows the user to visualize the propagation of a
wavefunction in the presence of potential barriers and detectors. We implement a 2D
Richardson algorithm[1], a local propagation technique, and combine it with a heuristic
damping scheme on the boundary. To simulate the double slit experiment in which one
slit has a detector, the simulation is run on 2 lattices, and magnitudes (without phase
information) are combined into a 3rd output lattice.
[1] Richardson, John L., Visualizing quantum scattering on the CM-2 supercomputer,
Computer Physics Communications 63 (1991) pp 84-94