Proceedings of the XXI International Fall Workshop on Geometry and PhysicsNo Access

COMPLETENESS OF TRAJECTORIES OF RELATIVISTIC PARTICLES UNDER STATIONARY MAGNETIC FIELDS

ANNA MARIA CANDELA

Dipartimento di Matematica, Università degli Studi di Bari "A. Moro", Via E. Orabona 4, 70125 Bari, Italy

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ALFONSO ROMERO

Departamento de Geometría y Topología, Universidad de Granada, Avenida Fuentenueva s/n, 18071 Granada, Spain

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MIGUEL SÁNCHEZ

Departamento de Geometría y Topología, Universidad de Granada, Avenida Fuentenueva s/n, 18071 Granada, Spain

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https://doi.org/10.1142/S0219887813600074Cited by:4 (Source: Crossref)

Abstract

The second-order differential equation on a Lorentzian manifold describes, in particular, the dynamics of particles under the action of an electromagnetic field F and a conservative force -∇V. We provide a first study on the extendability of its solutions, by imposing some natural assumptions.

Keywords:

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