Electron–positron planar orbits in a constant magnetic field

• Published in: Physica. D Vol. 404; p. 132349
• Main Authors: Gonzalez Leon, M.A., Mateos Guilarte, J., de la Torre Mayado, M.
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.03.2020
• Subjects: Bifurcation diagram; Elliptic coordinates; Integrable systems; Bifurcation diagram; Elliptic coordinates; Integrable systems

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....