Electron-positron planar orbits in a constant magnetic field
arXiv:1907.10652 · doi:10.1016/j.physd.2020.132349
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.
23 pages, 16 figures
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