Light-Like Paths of Weakly Relativistic Anyon in Magnetic Field
Mikhail Alekseevich Bubenchikov, D. S. Kaparulin, Oleg D. Nosyrev · Physics of Particles and Nuclei Letters · 2023
Abstract We consider the light-like trajectories of massive weakly relativistic anyon travelling in a uniform stationary magnetic field. We show that the world paths of classical particle are helical lines with the light-like tangent vector. The configuration of magnetic field determines the equations of motion for the symmetry axis of helix, while the step of the helix is determined by spin. The deviation of the particle path from smooth propagation is explained by the zitterbewegung phenomenon. We explicitly find the cyclotron frequency, and it is shown to be spin-dependent, even though spin has no physical degrees of freedom in 3d space-time. Computer simulation is used for visualization of particular trajectories.