The second order differential equation x'' = F(x')-grad(V) on a Lorentzian manifold describes, in particular, the dynamics of particles under the action of an electromagnetic field F and a conservative force -grad(V). We provide a first study on the extendability of its solutions, by imposing some natural assumptions
Completeness of trajectories of relativistic particles under stationary magnetic fields
CANDELA, Anna Maria;
2013-01-01
Abstract
The second order differential equation x'' = F(x')-grad(V) on a Lorentzian manifold describes, in particular, the dynamics of particles under the action of an electromagnetic field F and a conservative force -grad(V). We provide a first study on the extendability of its solutions, by imposing some natural assumptionsFile in questo prodotto:
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