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Monte Carlo Simulation of Two-Electron Spin Correlations

This Demonstration simulates the results of spin measurements on two-electron spins, using rotatable analyzers along directions
θ
1
and
θ
2
that can be selected by the user. The two electrons remain in an eigenstate of total spin squared.
The applied Monte Carlo method is designed to simulate the probabilistic predictions of quantum mechanics. A continuously updated diagram lets you observe how the correlation coefficients of the simulated events move toward the predicted quantum-mechanical values. Since the events are determined by an algorithm, the Demonstration is a deterministic version of quantum mechanics in which the phase of the wavefunction plays the role of a hidden variable.
The program runs freely upon activating the "run" checkbox. It will react to all available controls; in particular, it can be stopped by the "reset" checkbox.
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