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

2011/06/30 by Alexei A. Deriglazov, A. A. Deriglazov · 1 citation
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Classical mechanics #Dirac (video compression format) #Dirac equation #Electron #Mathematical physics #Noncommutative and Quantum Gravity Theories #Particle (ecology) #Physics #Quantum and Classical Electrodynamics #Quantum electrodynamics #Quantum mechanics #Relativistic particle #Relativistic wave equations #Spinning #Zitterbewegung #hep-th #math-ph #math.MP #quant-ph

paper · pdf · doi:10.1016/j.physleta.2011.10.070

published as Phys. Lett. A 376 (2012) 309-313 · 6 pages, misprints corrected

openalex publication_date 2011/12/01 · arxiv created 2012/03/26 · arxiv updated 2015/05/28 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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.

Citations

• Localized States for Elementary Systems
• The Principles of Quantum Mechanics
• Precession of the Polarization of Particles Moving in a Homogeneous Electromagnetic Field
• Particle spin dynamics as the grassmann variant of classical mechanics
• Spin Hall effect and Berry phase of spinning particles
• Analysis of constrained theories without use of primary constraints
• The mass-centre in the restricted theory of relativity and its connexion with the quantum theory of elementary particles
• On the Dirac Theory of Spin 1/2 Particles and Its Non-Relativistic Limit

Cited by

• Variational problem for Hamiltonian system on so(k, m) Lie–Poisson manifold and dynamics of semiclassical spin