Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Il Nuovo Cimento B

Wick-ordering representation method of the electromagnetic fluctuations: Considerations related to the Aharonov-Bohm effect

Dayanand Parashar, R. S. Kaushal

Published Apr 1, 1998• 0 citations
OpenAlex

Related papers

Role of electromagnetic energy and momentum in the Aharonov–Bohm effect

Alexander L. Kholmetskii, O. Missevitch, Tolga Yarman

We analyse the physical meaning of the Aharonov–Bohm (AB) phase based on its representation through electromagnetic (EM) potentials as a sum of four components, which, in addition to the known electric and magnetic phase components, contains two more terms recently disclosed by our team in the analysis of quantum phase effects for dipoles and charges, and which we named the complementary electric AB phase and the complementary magnetic AB phase. Using the complete expression for the AB phase, we reveal that the phase component, explicitly depending on time, is determined by the interactional electric energy, while the phase component, explicitly depending on the velocity of charge, is determined by the interactional EM momentum for an isolated system ‘source of EM field and charge’. These findings shed new light on the origin of the AB phase and, in particular, allow us to generalize the de Broglie relationship and the Heisenberg uncertainty relations for a charged particle in an EM field.

Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences•Feb 1, 2024•4 citations

DYNAMICAL ASPECTS OF THE ELECTROMAGNETIC FLUCTUATIONS : CONSIDERATIONS RELATED TO THE AHARONOV-BOHM EFFECT

K. Dechoum, H. M. França, Ana Maia

Il Nuovo Cimento B•Apr 1, 1998•0 citations

Correspondences and quantum description of Aharonov–Bohm and Aharonov–Casher effects

Minchul Lee, M. Y. Choi

We establish systematic consolidation of the Aharonov–Bohm (AB) and Aharonov–Casher effects including their scalar counterparts. Their formal correspondences in acquiring topological phases are revealed on the basis of the gauge symmetry in non-simply-connected spaces and the adiabatic condition for the state of magnetic dipoles. In addition, investigation of basic two-body interactions between an electric charge and a magnetic dipole clarifies their appropriate relative motions and discloses physical interrelations between the effects. Based on the two-body interaction, we also construct an exact microscopic description of the AB effect, where all the elements are treated on equal footing, i.e., magnetic dipoles are described quantum-mechanically and electromagnetic fields are quantized. This microscopic analysis not only confirms the conventional (semiclassical) results and the topological nature but also allows one to explore the fluctuation effects due to the precession of the magnetic dipoles with the adiabatic condition relaxed.

arXiv:quant-ph/0310032•Journal of Physics A Mathematical and General•Jan 6, 2004•4 citations

Fluctuations and Aharonov-Bohm Effect

Hiroyuki Fukuyama

Nanoscience and technology•Jan 1, 1998•0 citations

The time-dependent, electromagnetic Aharonov-Bohm effect

Zachary Kertzman, A. Petridis

Bulletin of the American Physical Society•Apr 14, 2008•0 citations

Non-Abelian Aharonov–Bohm effect with the time-dependent gauge fields

Seyed Ali Hosseini Mansoori, Behrouz Mirza

We investigate the non-Abelian Aharonov–Bohm (AB) effect for time-dependent gauge fields. We prove that the non-Abelian AB phase shift related to time-dependent gauge fields, in which the electric and magnetic fields are written in the adjoint representation of SU(N) generators, vanishes up to the first order expansion of the phase factor. Therefore, the flux quantization in a superconductor ring does not appear in the time-dependent Abelian or non-Abelian AB effect.

arXiv:1601.08164•Physics Letters B•Feb 4, 2016•7 citations
We analyse the physical meaning of the Aharonov–Bohm (AB) phase based on its representation through electromagnetic (EM) potentials as a sum of four components, which, in addition to the known electric and magnetic phase components, contains two more terms recently disclosed by our team in the analysis of quantum phase effects for dipoles and charges, and which we named the complementary electric AB phase and the complementary magnetic AB phase. Using the complete expression for the AB phase, we reveal that the phase component, explicitly depending on time, is determined by the interactional electric energy, while the phase component, explicitly depending on the velocity of charge, is determined by the interactional EM momentum for an isolated system ‘source of EM field and charge’. These findings shed new light on the origin of the AB phase and, in particular, allow us to generalize the de Broglie relationship and the Heisenberg uncertainty relations for a charged particle in an EM field.
We establish systematic consolidation of the Aharonov–Bohm (AB) and Aharonov–Casher effects including their scalar counterparts. Their formal correspondences in acquiring topological phases are revealed on the basis of the gauge symmetry in non-simply-connected spaces and the adiabatic condition for the state of magnetic dipoles. In addition, investigation of basic two-body interactions between an electric charge and a magnetic dipole clarifies their appropriate relative motions and discloses physical interrelations between the effects. Based on the two-body interaction, we also construct an exact microscopic description of the AB effect, where all the elements are treated on equal footing, i.e., magnetic dipoles are described quantum-mechanically and electromagnetic fields are quantized. This microscopic analysis not only confirms the conventional (semiclassical) results and the topological nature but also allows one to explore the fluctuation effects due to the precession of the magnetic dipoles with the adiabatic condition relaxed.