Lagrangian for the Frenkel electron

DOI10.1016/j.physletb.2014.07.029zbMath1317.81123arXiv1406.6715OpenAlexW1985910465MaRDI QIDQ2356377

Alexei A. Deriglazov

Publication date: 29 July 2015

Published in: Physics Letters. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.6715

zbMATH Keywords

Dirac equationsemiclassical description of relativistic spintheories with constraintsultrarelativistic spinning particle

Mathematics Subject Classification ID

Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40) Noncommutative geometry in quantum theory (81R60) Constrained dynamics, Dirac's theory of constraints (70H45) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (9)

Relativistic corrections to the algebra of position variables and spin-orbital interaction ⋮ Ultrarelativistic spinning particle and a rotating body in external fields ⋮ On Hamiltonians with position-dependent mass from Kaluza-Klein compactifications ⋮ World-line geometry probed by fast spinning particle ⋮ Effective dark energy through spin-gravity coupling ⋮ Frame-dragging effect in the field of non rotating body due to unit gravimagnetic moment ⋮ Recent progress on the description of relativistic spin: vector model of spinning particle and rotating body with gravimagnetic moment in general relativity ⋮ Mathisson–Papapetrou–Tulczyjew–Dixon equations in ultra-relativistic regime and gravimagnetic moment ⋮ Spinning particles, coadjoint orbits and Hamiltonian formalism

Cites Work

• Unnamed Item
• Thomas precession and the Bargmann-Michel-Telegdi equation
• Frenkel electron on an arbitrary electromagnetic background and magnetic \textit{Zitterbewegung}
• Geometric constructions underlying relativistic description of spin on the base of non-Grassmann vector-like variable
• Magnetic-moment operator of the relativistic electron
• Quantization of dynamical systems subject to second class constraints
• VARIATIONAL PROBLEM FOR THE FRENKEL AND THE BARGMANN–MICHEL–TELEGDI (BMT) EQUATIONS
• A covariant multipole formalism for extended test bodies in general relativity
• Variational problem for Hamiltonian system on so(k, m) Lie–Poisson manifold and dynamics of semiclassical spin
• On the Dirac Theory of Spin 1/2 Particles and Its Non-Relativistic Limit

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