https://doi.org/10.1140/epjp/s13360-025-06083-9
Regular Article
Lorentz-invariance and gauge-invariance of the Aharonov–Bohm phase
1
Belarusian State University, Minsk, Belarus
2
Institute for Nuclear Problems, Belarusian State University, Minsk, Belarus
3
Istanbul Okan University, Akfirat, Istanbul, Turkey
Received:
24
May
2024
Accepted:
3
February
2025
Published online:
18
February
2025
We analyze general expressions for the quantum phases of dipoles and pointlike charges in an electromagnetic field, applying the strong relativistic limit and using the principle of superposition of quantum phases first proposed in Kholmetskii and Yarman (EPL 120: 40007, 2017). This way we derive a new expression for the AB phase of electrically charged particles, which is both gauge-invariant and Lorentz-invariant, and discuss its implications.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
