Bm. Barbashov, INTEGRALS OF PERIODIC MOTION FOR THE CLASSICAL EQUATIONS OF A RELATIVISTIC STRING WITH MASSES AT ITS ENDS, Nuclear physics. B, 1997, pp. 284-287
Boundary equations for the relativistic string with masses at its ends
are formulated in terms of geometrical invariants of world trajectori
es of the masses. In three-dimensional Minkowski space E-2(1), there a
re two invariants, the curvature It and torsion kappa. Constants of mo
tion for these equations of motion with periodic kappa(i)(tau+nl) = ka
ppa(tau) are obtained.