M. A. Gonzalez Leon, J. Mateos Guilarte, M. de la Torre Mayado
Published 2019-07-24Version 1
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.
Comments: 23 pages, 16 figures
On plane oscillations of the cold plasma in a constant magnetic field
A problem of Berry and knotted zeros in the eigenfunctions of the harmonic oscillator
Polya's conjecture in the presence of a constant magnetic field
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