The structure of the Lorentz force and the related analogy between electromagnetism and inertia are discussed. The problem of invariant manifolds of the equations of motion for a charge in an electromagnetic field and the conditions for these manifolds to be Lagrangian are considered.
Keywords:
Lorentz force, Maxwell equations, Coriolis force, symplectic structure, Lagrangian manifold
Citation:
Kozlov V. V., The Lorentz force and its generalizations, Rus. J. Nonlin. Dyn.,
2011, Vol. 7, No. 3,
pp. 627-634
DOI:10.20537/nd1103015