Interference effects and modified Born rule in the presence of torsion

• URL: http://arxiv.org/abs/2107.05058v2
• Date: Tue, 21 Dec 2021 15:00:52 GMT
• Title: Interference effects and modified Born rule in the presence of torsion
• Authors: Eduardo Bittencourt, Alexsandre L. Ferreira Junior, and Iarley P. Lobo
• Abstract summary: We find a solution for the wave function which gives corrections in the interference patterns of the order of 0.1 Angstrom. We demonstrate how this geometric, but effective, approach can indeed accommodate a probabilistic interpretation of the wave function.
• Score: 4.542665110194436
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The propagation of nonrelativistic excitations in material media with topological defects can be modeled in terms of an external torsion field modifying the Schroedinger equation. Through a perturbative approach, we find a solution for the wave function which gives corrections in the interference patterns of the order of 0.1 Angstrom, for a possible experimental setup at atomic scales. Finally, we demonstrate how this geometric, but effective, approach can indeed accommodate a probabilistic interpretation of the wave function although the perturbative theory is nonunitary.

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