Spinning Relativistic Particle in an External Electromagnetic Field

Abstract

The Hamiltonian formulation of the motion of a spinning relativistic particle in an external electromagnetic field is considered. The approach is based on the introduction of new coordinates and their conjugated momenta to describe the spin degrees of freedom together with an appropriate set of constraints in the Dirac formulation. For particles with gyromagnetic ratio $g=2$, the equations of motion do not predict any deviation from the standard Lorentz force, while for $g\ne 2$ an additional force, which corresponds to the magnetic dipole force, is obtained.

Latex file, 11 pages

References in corpus (3)

• Equations of Motion for Spinning Particles in External\\Electromagnetic and Gravitational Fields
• Anyon in External Electromagnetic Field: Hamiltonian and Lagrangian Formulations
• Electromagnetic Deflection of Spinning Particles

Cited by in corpus (6)

• Equations of Motion of Spinning Relativistic Particle in Electromagnetic and Gravitational Fields
• Spin-one-half particles in strong electromagnetic fields: spin effects and radiation reaction
• Identifying the Stern-Gerlach force of classical electron dynamics
• Constrained Dynamics of an Anomalous $(g/neq2)$ Relativistic Spinning Particle in Electromagnetic Background
• Unified Evolution of Electromagnetic Sources in Homogeneous Fields
• On the form of Lorentz-Stern-Gerlach force