Integrals of periodic motion and periodic solutions for classical equations of relativistic string with masses at ends. I. Integrals of periodic motion
| dc.creator | Barbashov, B. M. | |
| dc.date | 1996-09-20 | |
| dc.date.accessioned | 2026-07-07T10:58:47Z | |
| dc.date.available | 2026-07-07T10:58:47Z | |
| dc.description | 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 $κ$. Curvatures of trajectories of the string ends with masses are always constant, $K_i = γ/m_i (i =1,2,)$, whereas torsions $κ_i(τ)$ obey a system of differential equations with deviating arguments. For these equations with periodic $κ_i(τ+n l)=κ(τ)$, constants of motion are obtained (part I) and exact solutions are presented (part II) for periods $l$ and $2l$ where $l$ is the string length in the plane of parameters $τ$ and $σ\ (σ_1 = 0, σ_2 =l)$. | |
| dc.description | 15 pages | |
| dc.identifier | https://arxiv.org/abs/hep-th/9609171 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9609171 | |
| dc.identifier | J.Phys.A30:4651-4664,1997 | |
| dc.identifier | doi:10.1088/0305-4470/30/13/016 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/187226 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Integrals of periodic motion and periodic solutions for classical equations of relativistic string with masses at ends. I. Integrals of periodic motion | |
| dc.type | text |