Action-at-a-distance linear potentials and conformal conservation laws

Abstract

As a consequence of invariance under the full conformal group of transformations, 15 proper conserved quantities are derived for the system of two massive particles interacting via classical action-at-a-distance linear potentials that have been found in the preceding paper [J. Weiss, J. Math. Phys. 27, 1015 (1986)] in terms of the step θ function Lagrangian.