Ph.D. (Doctor of Philosophy)
Department of Physics
Electric charge and distribution--Measurement--Mathematical models
The problem of a point-like charged particle's self-interaction force has been a long-standing problem in the field of classical electrodynamics. For over a century, physicists have unsuccessfully developed a satisfactory solution until recently. We expand on the work done by Gralla et. al. in order to establish a smooth and relativistically correct formulation of point-like charged particles in motion and shed light on related problems and applications, particularly the motion of elementary particles with magnetic dipoles through non-uniform static magnetic fields. We conduct numerical simulations in order to quantify the magnitude of the perturbations from this self-force due to the new equations of motion relative to the Lorentz force. These results will be utilized in single particle dynamics experiments in accelerator rings.
Hamilton, Kevin J., "On the self-force problem of point-like charged particles in classical electrodynamics" (2020). Graduate Research Theses & Dissertations. 4185.
xii, 254 pages
Northern Illinois University
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