Resolution of many particle electrodynamics by symbolic manipulation

Published: 01-01-1989| Version 1 | DOI: 10.17632/jryy86rbbt.1
T.C. Scott,
R.A. Moore,
M.B. Monagan


Abstract Symbolic computation provides excellent tools for the analysis and manipulation of the physical quantities involved in many-bodied 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 Liénard-Wiechert potentials and their resulting forces into equivalent formulations expressed in terms of only one time variable. Maple was used to expan... Title of program: LIENARD Catalogue Id: ABFX_v1_0 Nature of problem For the purpose of analysis and eventual use for quantum mechanics, one desires to map relativistic physical quantities of interest, namely the time delays, Lienard-Wiechert potentials and their resulting forces, into equivalent expressions in terms of only one time variable. Since the resulting expressions cannot be written in closed form, one resorts to series expansions of these quantities in powers of 1/c. Versions of this program held in the CPC repository in Mendeley Data ABFX_v1_0; LIENARD; 10.1016/0010-4655(89)90009-X This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)