INTEGRALS OF PERIODIC MOTION FOR THE CLASSICAL EQUATIONS OF A RELATIVISTIC STRING WITH MASSES AT ITS ENDS

摘要

Boundary equations for the relativistic string with masses at its ends are formulated in terms of geometrical invariants of world trajectories of the masses. In three-dimensional Minkowski space E-2(1), there are two invariants, the curvature It and torsion kappa. Constants of motion for these equations of motion with periodic kappa(i)(tau+nl) = kappa(tau) are obtained. [References: 4]