Integrals of periodic motion for classical equations of relativistic string with masses at ends

Physics – High Energy Physics – High Energy Physics - Theory

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8 pages, REVTEX, no figures and tables

Scientific paper

10.1016/S0920-5632(97)00405-2

Boundary equations for the relativistic string with masses at ends are formulated in terms of geometrical invariants of world trajectories of masses at the string ends. In the three-dimensional Minkowski space $E^1_2$, there are two invariants of that sort, the curvature $K$ and torsion $\kappa$. For these equations of motion with periodic $\kappa_i(\tau+n l)=\kappa(\tau)$, constants of motion are obtained.

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