Abstract
We propose a novel class of nonlinear Dirac wave equations in 3 + 1 flat space-time dimensions. Reducing the space dimensions to 2, we study the electron dynamics in an external homogeneous magnetic field for a specific type of one-electron self-interaction providing the possible (nonlinear) ground-state Landau energy levels together with their respective eigenfunctions. We concentrate on the regime of strong magnetic fields and, thus, briefly comment on the relevance of this approach to reveal certain processes thought to occur particularly near the surfaces of magnetars.
| Original language | English |
|---|---|
| Article number | 775 |
| Journal | European Physical Journal Plus |
| Volume | 136 |
| Issue number | 7 |
| DOIs | |
| State | Published - Jul 2021 |
Bibliographical note
Publisher Copyright:© 2021, The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature.