
Symmetry in Nonlinear Mathematical Physics  2009
Serena Hajjawi (University of La Laguna, Tenerife, Spain)
Spinorial approach to classical electrodynamics
Abstract:
It is well known that the socalled Lorentz Force can be regarded as a consequence of (infinitesimal) Lorentz transformations acting on the fourmomentum of a charged massive pointparticle in the presence of an external field. This can be spinorially reformulated and the spinorial version of the equations describing the trajectory of the particle gives also the evolution of (classical) spin under the action of an external field. This equations in turn can be obtained from a spinorial lagrangian and the associated hamiltonian gives, in the case of a constant magnetic field, discrete values of the energy.

