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Relativistic electron dynamics in magnetic fields with low-degree of field nonlinearity

  • Stanley A. Bruce*
  • *Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

We study the relativistic bound state dynamics of electrons in the presence of electromagnetic fields within the framework of a novel class of nonlinear Dirac wave equations. In 2 + 1 space-time dimensions, we address a specific interacting electron model in a homogeneous magnetic field providing the allowed nonlinear ground-state Landau energy levels. We concentrate on the regime of laboratory high magnetic fields, and thus, comment on the relevance of this approach to study 2D electron systems.

Original languageEnglish
Pages (from-to)533-541
Number of pages9
JournalZeitschrift fur Naturforschung - Section A Journal of Physical Sciences
Volume77
Issue number6
DOIs
StatePublished - 1 Jun 2022

Bibliographical note

Publisher Copyright:
© 2022 Walter de Gruyter GmbH, Berlin/Boston.

Keywords

  • 2D electron dynamics in magnetic fields
  • nonlinear Dirac equations
  • nonlinear ground-state Landau levels

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