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Self-Interference of a Quantum Particle in Terms of the Corpuscular and Indeterministic Quantum Theory of Matter
Jerzy Kosek and Jerzy Warczewski

To retain the interference effect it is impossible to observe the path along which a quantum particle is moving. In the theoretical description this is equivalent to a statement that the observables describing the positions of a particle at the moments preceding the final measurement do not exist. However this does not mean – as it is commonly assumed – that we cannot describe the motion of a quantum particle as a localized entity moving along any specified trajectory. Thus the localization of a quantum particle at every moment is postulated and the indeterministic law of its motion is formulated. The self-interference of a photon in the Mach–Zehnder interferometer serves here to describe the self-interference of a quantum particle. The agreement of this description with the principles of the theory of probability, so far only applied to macroscopic objects, is shown. The result of the simulation of self-interference of a photon within this theory is also presented. Moreover, it is suggested that in this way one can connect both the quantum description and the description of the phenomena in terms of classical physics.

Keywords: Quantum particle, self-interference, measurement problem, classical probability, corpuscular and indeterministic quantum theory of matter, Mach–Zehnder interferometer.

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