A semiclassical description of relativistic spin without the use of Grassmann variables and the Dirac equation

DOI10.1016/j.aop.2011.11.019zbMath1237.81078arXiv1107.0273OpenAlexW3100880780MaRDI QIDQ765784

Alexei A. Deriglazov

Publication date: 22 March 2012

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.0273

zbMATH Keywords

Dirac equationZitterbewegunglocal (gauge) symmetriesrelativistic spin theories with constraints

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Spinor and twistor methods applied to problems in quantum theory (81R25) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40)

Related Items

Spinning-particle model for the Dirac equation and the relativistic \textit{Zitterbewegung}, Very special relativity and Lorentz violating theories, VARIATIONAL PROBLEM FOR THE FRENKEL AND THE BARGMANN–MICHEL–TELEGDI (BMT) EQUATIONS, Variational problem for Hamiltonian system on so(k, m) Lie–Poisson manifold and dynamics of semiclassical spin, Classical-mechanical models without observable trajectories and the Dirac electron, Rigid particle revisited: Extrinsic curvature yields the Dirac equation, Recent progress on the description of relativistic spin: vector model of spinning particle and rotating body with gravimagnetic moment in general relativity, Non-Grassmann mechanical model of the Dirac equation

Cites Work

• Unnamed Item
• On the dynamics of classical particles with spin
• Conversion of second class constraints by deformation of Lagrangian local symmetries
• Particle spin dynamics as the Grassmann variant of classical mechanics
• Effects of spin on the cyclotron frequency for a Dirac electron
• Fine structure of constraints in Hamiltonian formulation
• Spinning-particle model for the Dirac equation and the relativistic \textit{Zitterbewegung}
• Zitterbewegung in quantum mechanics
• NONRELATIVISTIC SPIN: à la BEREZIN–MARINOV QUANTIZATION ON A SPHERE
• Effects of spacetime curvature on spin-1/2 particle zitterbewegung
• Electromagnetic and gravitational interactions of the spinning particle
• Improved extended Hamiltonian and search for local symmetries
• QUANTIZATION OF POINTLIKE PARTICLES AND CONSISTENT RELATIVISTIC QUANTUM MECHANICS
• A symmetry group containing both the lorentz group andSU 3
• The mass-centre in the restricted theory of relativity and its connexion with the quantum theory of elementary particles
• Localized States for Elementary Systems
• On the Dirac Theory of Spin 1/2 Particles and Its Non-Relativistic Limit
• Classical Mechanics