On a Hypothetical Explanation of the Aharonov-Bohm Effect

Heinz J. Rothe

K. Wilhelm, B. N. Dwivedi

The Aharonov-Bohm effect is considered by most authors as a quantum effect, but a generally accepted explanation does not seem to be available. The phenomenon is studied here under the assumption that hypothetical electric dipole distributions configured by moving charges in the solenoid act on the electrons as test particles. The relative motions of the interacting charged particles introduce relativistic time dilations. The massless dipoles are postulated as part of an impact model that has recently been proposed to account for the far-reaching electrostatic forces between charged particles described by Coulomb's law. The model provides a quantitative explanation of the Aharonov-Bohm effect.

Markus Lentzen

Abstract Recently, Schreiber et al (2024 New J. Phys. 26 043012) have presented the theory of an electron lens acting through the Aharonov–Bohm effect in the field-free opening of a static toroidal magnetic field. In this Comment, three key results of this theory are shown to be incorrect due to six basic calculation errors. The errors are corrected, and three correspondingly modified key results are derived. These results are discussed with respect to the hypothetical lens effect and the underlying Aharonov–Bohm effect.

Benjamin Liebowitz

ALEXANDER I. NESTEROV

The Aharonov–Bohm (AB) effect for the singular string associated with the Dirac monopole carrying an arbitrary magnetic charge is studied. It is shown that the emerging difficulties in explanation of the AB effect may be removed by introducing nonassociative path-dependent wavefunctions. Our results imply that the Dirac singular string escapes detection in the AB experiment even for an arbitrary charged magnetic monopole.

P. Hraskó