Relativistic corrections to the algebra of position variables and spin-orbital interaction

Abstract

In the framework of vector model of spin, we discuss the problem of a covariant formalism \cite{Pomeranskii1998} concerning the discrepancy between relativistic and Pauli Hamiltonians. We show how the spin-induced non commutativity of a position accounts the discrepancy on the classical level, without appeal to the Dirac equation and Foldy-Wouthuysen transformation.

8 pages, typos corrected, presentation improved

References in corpus (6)

• Muon g-2: Review of Theory and Experiment
• Lorentz Invariance in Chiral Kinetic Theory
• Noncommutativity due to spin
• Lagrangian for the Frenkel electron
• Quantum gravitational corrections for spinning particles
• Spinning Relativistic Particles in External Fields

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• Covariant version of Pauli Hamiltonian, spin-induced non commutativity, Thomas precession and precession of spin
• Coulomb problem for classical spinning particle
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• Acceleration of particles in Schwarzschild and Kerr geometries
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• Bundle Theoretic Descriptions of Massive Single-Particle State Spaces; With a view toward Relativistic Quantum Information Theory