Ensemble Interpretation of Quantum Mechanics and the Two-Slit Experiment

  • Glenn F. WebbEmail author
Part of the Computational Methods in Applied Sciences book series (COMPUTMETHODS, volume 47)


An evolution equation model is provided for the two-slit experiment of quantum mechanics. The state variable of the equation is the probability density function of particle positions. The equation has a local diffusion term corresponding to stochastic variation of particles, and a nonlocal dispersion term corresponding to oscillation of particles in the transverse direction perpendicular to their forward motion. The model supports the ensemble interpretation of quantum mechanics and gives descriptive agreement with the Schrödinger equation model of the experiment.



This work is dedicated to William Fitzgibbon and Yuri Kuznetsov in honor of their most valuable contributions to mathematical research and the community of mathematical researchers.


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Copyright information

© Springer International Publishing AG, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Vanderbilt UniversityNashvilleUSA

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