General relativistic dynamics of polarized particles in electromagnetic fields

Details General relativistic dynamics of polarized particles in electromagnetic fields General relativistic dynamics of polarized particles in electromagnetic fields

Jul 2004

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004phrvd..70b4012p&link_type=abstract

Physical Review D, vol. 70, Issue 2, id. 024012

Physics

7

Canonical Formalism, Lagrangians, And Variational Principles, Classical Field Theories

Scientific paper

The “geometric” and the “dynamic” variational principles are extended to the case of a classical test particle coupled with an external field through a scalar, velocity-independent term U. The relative Lagrangians are determined, and a super-Hamiltonian derivation of Hamilton-Jacobi equation for this case is also given. Consistency of results is shown throughout. Results thus found are then specialized to the case of the curved-spacetime motion of a classical polarized test particle, subject to the influence of an external electromagnetic field. We also consider the behavior of a spinning classical polarized test particle in a curved spacetime: the equations of motion are given, together with the equations describing the evolution of the spin.

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