71 research outputs found
A Gauge-invariant Hamiltonian Description of the Motion of Charged Test Particles
New, gauge-independent, second-order Lagrangian for the motion of classical,
charged test particles is used to derive the corresponding Hamiltonian
formulation. For this purpose a Hamiltonian description of the theories derived
from the second-order Lagrangian is presented. Unlike in the standard approach,
the canonical momenta arising here are explicitely gauge-invariant and have a
clear physical intepretation. The reduced symplectic form is equaivalent to the
Souriau's form. This approach illustrates a new method of deriving equations of
motion from field equations.Comment: LATEX, 15 page
Generation of a dipole moment by external field in Born-Infeld non-linear electrodynamics
The mechanism for the generation of a dipole moment due to an external field
is presented for the Born-Infeld charged particle. The 'polarizability
coefficient' is calculated: it is proportional to the third power of the
characteristic length in the Born-Infeld theory. Some physical implications are
briefly discussed.Comment: 8 pages, LATE
- …