Geometrical method of solving the boundary-value problem in the theory of a relativistic string with masses at its ends
A differential-geometric formulation of the dynamics of a relativistic string with masses at its ends is considered in the Minkowski space E/sub 2//sup 1/. The surface swept out by the string is described by differential forms and is bounded by two curves - the worldlines of its massive ends. These curves have a constant geodesic curvature, and their torsion is determined only up to an arbitrary function on the interval (0, 2/pi/). Equations are obtained that determine the world surface of the string as a function of the curvature and torsion of the trajectories of its massive ends. For the choice of the constant torsions for which the mass points move along helices, the surface of the relativistic string is a helicoid.
- Research Organization:
- Joint Institute for Nuclear Research, Dubna (USSR)
- OSTI ID:
- 5919131
- Journal Information:
- Theor. Math. Phys.; (United States), Vol. 74:3; Other Information: Translated from Teor. Mat. Fiz.; 74: No. 3, 430-439(Mar 1988)
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
STRING MODELS
BOUNDARY-VALUE PROBLEMS
CURVILINEAR COORDINATES
GAUGE INVARIANCE
GEODESICS
GEOMETRY
MASS
MATHEMATICAL MANIFOLDS
MINKOWSKI SPACE
TORSION
COMPOSITE MODELS
COORDINATES
EXTENDED PARTICLE MODEL
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
MATHEMATICAL SPACE
MATHEMATICS
PARTICLE MODELS
QUARK MODEL
SPACE
645400* - High Energy Physics- Field Theory
657002 - Theoretical & Mathematical Physics- Classical & Quantum Mechanics