Publication Date
2020
Document Type
Dissertation/Thesis
First Advisor
Erdelyi, Bela
Degree Name
Ph.D. (Doctor of Philosophy)
Legacy Department
Department of Physics
LCSH
Electric charge and distribution--Measurement--Mathematical models
Abstract
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.
Recommended Citation
Hamilton, Kevin J., "On the self-force problem of point-like charged particles in classical electrodynamics" (2020). Graduate Research Theses & Dissertations. 4185.
https://huskiecommons.lib.niu.edu/allgraduate-thesesdissertations/4185
Extent
xii, 254 pages
Language
eng
Publisher
Northern Illinois University
Rights Statement
In Copyright
Rights Statement 2
NIU theses are protected by copyright. They may be viewed from Huskie Commons for any purpose, but reproduction or distribution in any format is prohibited without the written permission of the authors.
Media Type
Text
Comments
Adviser: Bela Erdelyi.