Acta Physica Polonica B
Proceedings Supplement

Vol. 1, No. 1, January 2008, page 143

Hamiltonian Description of Motion of Charged Particles with Spin

Equations of motion of a classical charged particle carrying a non-vanishing internal angular momentum (spin) are derived from first principles in the special relativistic context. The equations are implied by the conservation law of both the energy-momentum four-vector and the angular-momentum tensor carried by the total physical system, composed of the particle and the field. Our method leads directly to the variational and the hamiltonian formulations of the dynamics. It is based on the programme formulated in Kijowski, Gen. Relativ. Gravitation J. 26, 167 (1994) and Acta Phys. Pol. A 85, 771 (1994) and may be treated as an implementation of the idea of "deriving equations of motion from field equations", formulated by Einstein.

PACS numbers: 02.30.Xx, 03.50.De, 04.20.Fy, 45.20.Jj