Light-like path of anyon in magnetic field

24 Oct 2022, 15:30
15m
R3 (407) (MLIT, JINR)

R3 (407)

MLIT, JINR

Oral Mathematical Modeling and Computational Physics Mathematical Modeling and Computational Physics

Speaker

Oleg Nosyrev (National Research Tomsk State University)

Description

We consider the light-like trajectories of a massive relativistic anyon travelling in a uniform stationary magnetic field. We show that the classical particle paths 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 helix is determined by spin. The deviation of the particle path from smooth propagation is explained by 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.

Primary authors

Oleg Nosyrev (National Research Tomsk State University) Dr Dmitry Kaparulin (National Research Tomsk State University) Prof. Mikhail Bubenchikov (National Research Tomsk State University)

Presentation materials