Magnetic Trajectories in Killing Magnetic Backgrounds Framed in 3D pp-Waves

The article is aimed to explore trajectories of charged particles moving under the effect of Lorentz force of Killing magnetic fields (i.e., closed 2-forms corresponding to Killing vector fields) in 3D pp -waves. First, we obtain magnetic trajectories in trivial magnetic background which are nothing...

Full description

Saved in:
Bibliographic Details
Published inJournal of nonlinear science Vol. 33; no. 1
Main Author Iqbal, Zafar
Format Journal Article
LanguageEnglish
Published New York Springer US 01.02.2023
Springer Nature B.V
Subjects
Analysis
Charged particles
Classical Mechanics
Economic Theory/Quantitative Economics/Mathematical Methods
Fields (mathematics)
Geodesy
Lorentz force
Mathematical and Computational Engineering
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Theoretical
53B30
53Z05
78A35
53B25
Lorentzian 3-manifold
53C22
Geodesic
Killing vector field
Magnetic field
wave
Magnetic trajectory
Online AccessGet full text

Cover

More Information
Summary:The article is aimed to explore trajectories of charged particles moving under the effect of Lorentz force of Killing magnetic fields (i.e., closed 2-forms corresponding to Killing vector fields) in 3D pp -waves. First, we obtain magnetic trajectories in trivial magnetic background which are nothing but the geodesics of 3D pp -waves. Next, we characterize Killing vector fields and hence explore associated Killing magnetic trajectories in 3D pp -waves. In particular, we explicitly determine Killing magnetic trajectories in 3D Cahen–Wallach space and provide some pictorial examples.
ISSN:0938-8974
1432-1467
DOI:10.1007/s00332-022-09871-0