English

Interference effects and modified Born rule in the presence of torsion

Quantum Physics 2021-12-22 v2 General Relativity and Quantum Cosmology High Energy Physics - Theory

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.

Keywords

Cite

@article{arxiv.2107.05058,
  title  = {Interference effects and modified Born rule in the presence of torsion},
  author = {Eduardo Bittencourt and Alexsandre L. Ferreira Junior and Iarley P. Lobo},
  journal= {arXiv preprint arXiv:2107.05058},
  year   = {2021}
}

Comments

7 pages, 2 figures. Replaced to match the published version