Electron-positron planar orbits in a constant magnetic field
Mathematical Physics
2020-02-03 v1 math.MP
Abstract
The different types of orbits in the classical problem of two particles with equal masses and opposite charges on a plane under the influence of a constant orthogonal magnetic field are classified. The equations of the system are reduced to the problem of a Coulomb center plus a harmonic oscillator. The associated bifurcation diagram is fully explained. Using this information the dynamics of the two particles is described.
Cite
@article{arxiv.1907.10652,
title = {Electron-positron planar orbits in a constant magnetic field},
author = {M. A. Gonzalez Leon and J. Mateos Guilarte and M. de la Torre Mayado},
journal= {arXiv preprint arXiv:1907.10652},
year = {2020}
}
Comments
23 pages, 16 figures