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Aharonov-Bohm effect as a material phenomenon V. Rubaev<sup>1</sup>, L. Fedichkin<sup>2</sup> 1. NIX, Zvezdny blvd. 19, Moscow, Russia, vladislav@nix.ru 2. Valiev Institute of Physics and Technology, Russian Academy of Sciences, Moscow, Russia, leonid@phystech.edu

POSTER

Abstract

We provide the consideration of Aharonov-Bohm effect by investigating at quantum microscopic level the whole system comprising not only our particle but also the solenoid generating electromagnetic potential. We show that the action on particle phase is physical natural phenomenon rather than spooky action at a distance as it may seem when solenoid is considered classically. Dipoles are considered to be initially in quantum state which may be even entangled with environment. By properly taking path integral over particle trajectories accounting for force action between dipole and particle we arrive at expressions which are just the same as Aharonov‑Bohm result. In contrast to previous attempts to explain Aharonov-Bohm effect as an action of charged particle magnetic field upon the source of magnetic vector potential our results are general and rigorous. We hope that our reverse approach to consideration of this effect paves the way for better understanding of physical processes behind Aharonov-Bohm effect and our alternative technique of calculations may occur to be useful for investigation of electronic transport in nanosystems. In particular, we predict that perfect superconducting shield of solenoid must eliminate the influence of solenoid on particle phase.

Publication: V. Rubaev, L. Fedichkin. arXiv:2109.12438.

Presenters

  • Vladislav Rubaev

    NIX

Authors

  • Vladislav Rubaev

    NIX