Abstract
We propose a toy model to study Dirac charged leptons and their associated antineutrinos in the presence of a homogeneous magnetic field within the framework of relativistic quantum mechanics. The discussion is kept concrete by reducing the space dimensions to 2, considering 'spinless antineutrinos' in 2 + 1 space-time dimensions. Solutions to specific problems in particle physics are often hindered by the technical complexities encountered in (3+1-dimensions. In such cases, it is convenient to have a lower space dimensional model at ones disposal that captures some physical features while reducing technical difficulties to a minimum. The content of this article is suitable for graduate students in theoretical and experimental particle physics.
| Original language | English |
|---|---|
| Article number | 045408 |
| Journal | European Journal of Physics |
| Volume | 42 |
| Issue number | 4 |
| DOIs | |
| State | Published - Jul 2021 |
Bibliographical note
Publisher Copyright:© 2021 European Physical Society.
Keywords
- 2D Dirac equation
- relativistic neutrino masses
- relativistic quantum mechanics