Spinning-particle model for the Dirac equation and the relativistic Zitterbewegung

Abstract

We construct the relativistic particle model without Grassmann variables which meets the following requirements. A) Canonical quantization of the model implies the Dirac equation. B) The variable which experiences {\it Zitterbewegung}, represents a gauge non-invariant variable in our model. Hence our particle does not experiences the undesirable {\it Zitterbewegung}. C) In the nonrelativistic limit spin is described by three-vector, as it could be expected.

6 pages, misprints corrected

References in corpus (1)

• On the dynamics of classical particle with spin

Cited by in corpus (12)

• Lagrangian for Frenkel electron and position's non-commutativity due to spin
• Frenkel electron and a spinning body in a curved background
• Rigid particle revisited: extrinsic curvature yields the Dirac equation
• Geometric Constructions Underlying Relativistic Description of Spin on the Base of Non-Grassmann Vector-Like Variable
• Nonminimal spin-field interaction of the classical electron and quantization of spin
• Variational problem for the Frenkel and the Bargmann-Michel-Telegdi (BMT) equations
• Classical-mechanical models without observable trajectories and the Dirac electron
• Dirac fermions in a spinning conical Gödel-type spacetime
• Non-Grassmann mechanical model of the Dirac equation
• Variational problem for Hamiltonian system on so(k, m) Lie-Poisson manifold and dynamics of semiclassical spin
• Current Density of Majorana Bound States
• Study Zitterbewegung effect in a Quasi One-dimensional Relativistic Quantum Plasma by DHW formalization