Resolution of many particle electrodynamics by symbolic manipulation
Abstract
Symbolic computation provides excellent tools for the analysis and manipulation of the physical quantities involved in manybodied systems. Analytical derivations are extremely valuable but not feasible to perform manually. Presented are algorithms expressed in the Maple symbolic computation system which map the relativistic time delays, the LiénardWiechert potentials and their resulting forces into equivalent formulations expressed in terms of only one time variable. Maple was used to expand each of the resulting expressions in a power series in 1/ c to a highorder and to sum these series beyond their radius of convergence by the method of Padé rational function approximations.
 Publication:

Computer Physics Communications
 Pub Date:
 January 1989
 DOI:
 10.1016/00104655(89)90009X
 Bibcode:
 1989CoPhC..52..261S