| Issue |
EPL
Volume 149, Number 6, March 2025
|
|
|---|---|---|
| Article Number | 60001 | |
| Number of page(s) | 6 | |
| Section | General physics | |
| DOI | https://doi.org/10.1209/0295-5075/adbe9e | |
| Published online | 07 April 2025 | |
Gauge-invariant description of a Dirac electron moving in a noncommutative gauge field background
1 Department of Physics, West Bengal State University - Barasat, Kolkata 700126, India
2 Department of Astrophysics and High Energy Physics, S. N. Bose National Centre for Basic Science Block-JD, Sector-III, Salt Lake, Kolkata-700106, India
Received: 26 January 2025
Accepted: 10 March 2025
We provide a gauge-invariant description of the quantum dynamics of an electron in a constant noncommutative (NC) gauge field background using the Dirac equation in an NC plane. We show that the physical force imparted on the electron is the standard Lorentz force but with modified NC magnetic fields that pick up two different first-order corrections in the relativistic and nonrelativistic (NR) domains. Taking the NR limit of the NC modified Dirac equation we show that noncommutativity affects the cyclotron frequency but leaves the Hall conductivity and cyclotron motion trajectory unaffected to first order in the NC parameter. The hyperfine splitting of hydrogen atom (H-atom) spectrum also shows a first-order correction.
© 2025 EPLA. All rights, including for text and data mining, AI training, and similar technologies, are reserved
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.