E.g. J. D. Jackson, “Classical electrodynamics,” 3rd Ed., Wiley, 2005.
has been cited by the following article:
- TITLE: Static Electric-Spring and Nonlinear Oscillations
- AUTHORS: H. Sarafian
- KEYWORDS: Static Electric-Spring, Nonlinear Oscillator, Mathematica
JOURNAL NAME: Journal of Electromagnetic Analysis and Applications
Sep 05, 2014
- ABSTRACT: The author designed a family of nonlinear static electric-springs. The nonlinear oscillations of a massively charged particle under the influence of one such spring are studied. The equation of motion of the spring-mass system is highly nonlinear. Utilizing Mathematica  the equation of motion is solved numerically. The kinematics of the particle namely, its position, velocity and acceleration as a function of time, are displayed in three separate phase diagrams. Energy of the oscillator is analyzed. The nonlinear motion of the charged particle is set into an actual three-dimensional setting and animated for a comprehensive understanding.