Article citationsMore>>

Trautman, A. (1977) Solutions of the Maxwell and Yang-Mills Equations Associated with Hopf Fibrings. International Journal of Theoretical Physics, 16, 561-565.
https://doi.org/10.1007/bf01811088

has been cited by the following article:

• TITLE: Equivalence of the Aharonov-Bohm and Dirac Monopole Potentials

  AUTHORS: Miguel Socolovsky

  KEYWORDS: Aharonov-Bohm Effect, Dirac Monopole, Principal Bundles

  JOURNAL NAME: Journal of High Energy Physics, Gravitation and Cosmology, Vol.10 No.4, September 29, 2024

  ABSTRACT: The Aharonov-Bohm effect (experimentally verified) constitutes an undubitable proof of the non local nature of quantum mechanics and of the gauge character of the electromagnetic interaction. On the other hand, the existence of a Dirac monopole (not yet experimentally confirmed) leads to the quantization of the electric charge. Both phenomena can be mathematically described in the context of fiber bundle theory. Using this approach, we briefly review the mutual determination of the corresponding connections ω A−B , ω D and potentials A A−B ± , A D ± . This mathematical result gives an additional theoretical support to present day active search of the magnetic charge.