Authors: Chong Wang
The ensemble interpretation attributes the wave appearances of particles to their statistical characteristics. This has increasingly interested scientists. However, the ensemble interpretation is still not a scientific theory based on mathematics. Here, based on the double-slit experiment, a mathematical framework for the ensemble interpretation is constructed. The Schrodinger equation and the de-Broglie equation are also deduced. Analysis shows that the wave appearance of particles is caused by the statistical properties of these particles; the nature of the wave function is the average least action for the particles in a position.
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