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Foundations of Physics Letters

The double slit experiment, the Aharonov-Bohm effect, and a new quantum potential theory: Towards a realistic interpretation of quantum mechanics

R. E. L. Mónaco, G. G. Cabrera

Published Feb 1, 1994• 5 citations
Publisher
DOI
10.1007/bf02056549

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Abstract The Aharonov-Bohm (AB) effect is an important discovery in quantum theory and electrodynamics. It serves as a surprising quantum phenomenon in which an electrically charged particle can be affected by an electromagnetic potential, despite being confined to a region in which both the magnetic field and electric field are zero. This fact gives the electromagnetic potentials greater significance in quantum physics than in classical physics. Actually the original AB effect belongs to an ``electromagnetism-type". A certain type of vector potential is crucial for building the corresponding type of AB effect. In this work, we focus on the ``spin-type" AB effect. First, we derive the spin vector potential by considering a particle with a spin operator. Second, based on the spin vector potential we propose the spin AB effect, which is a gedanken double-slit interference experiment and is possible to observed in the lab. Third, we discuss the connections between the spin vector potential and some important spin interactions and predict a new type of spin-orbital interaction. Our result advances the study of the potential theory and opens a new avenue of the spin AB effect.
Abstract Young’s double slit experiments, which represent the mystery of quantum mechanics, have been interpreted by quantum probability waves and de Broglie-Bohm’s trajectory/pilot waves. To study in detail, the double slit experiments are extended to the cross double slit experiments. We argue that an interpretation must be able to explain all of the double slit and cross double slit experiments consistently. To test the interpretations, the comprehensive double slit experiments have been performed, which challenge both the wave interpretation and the trajectory interpretation. The cross double slit experiments and comprehensive double slit experiments provide a new tool for studying the mystery of double slit, wave-particle duality, complementarity principle, wave theory and trajectory theory. In this article, we review the cross double slit experiments and comprehensive double slit experiments, and report new experiments.