A Lagrangian for a system of two dyons

• Main Author: Thierauf, Rainer Georg
• Format: Others
• Published: PDXScholar 1988
• Subjects: Lagrange equations; Particles (Nuclear physics); Electromagnetic fields; Maxwell equations; Electromagnetics and Photonics; Physics
• Online Access: https://pdxscholar.library.pdx.edu/open_access_etds/3840; https://pdxscholar.library.pdx.edu/cgi/viewcontent.cgi?article=4837&context=open_access_etds

Maxwell's equations for the electromagnetic field are symmetrized by introducing magnetic charges into the formalism of electrodynamics. The symmetrized equations are solved for the fields and potentials of point particles. Those potentials, some of which are found to be singular along a line, are used to formulate the Lagrangian for a system of two dyons (particles with both electric and magnetic charge). The equations of motion are derived from the Lagrangian. It is shown that the dimensionality constants k and k * , which we r e introduced to define the units of the electromagnetic fields, have to be equal in order to avoid center of mass acceleration in the two dyon system.