General dynamics of spinors

DOI10.1007/s00006-017-0816-9zbMath1379.81043arXiv1707.03270OpenAlexW3102520812WikidataQ59486351 ScholiaQ59486351MaRDI QIDQ1686868

Luca Fabbri

Publication date: 18 December 2017

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.03270

zbMATH Keywords

spinorselectrodynamicsZitterbewegungtorsion-gravity

Mathematics Subject Classification ID

Gravitational interaction in quantum theory (81V17) Spinor and twistor methods applied to problems in quantum theory (81R25) Electromagnetic fields in general relativity and gravitational theory (83C50) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60) Determinants and determinant bundles, analytic torsion (58J52) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items

Further investigation of mass dimension one fermionic duals, Spinor fields, singular structures, charge conjugation, ELKO and neutrino masses, The most complete mass-dimension four topological gravity, Some remarks on dual helicity flag-dipole spinors, Cross section for Bhabha and Compton scattering beyond quantum field theory, Unveiling a spinor field classification with non-abelian gauge symmetries, Chern-Simons extension of ESK theory, Angular-radial integrability of Coulomb-like potentials in Dirac equations

Cites Work

• Unnamed Item
• Clifford algebras and the Dirac-Bohm quantum Hamilton-Jacobi equation
• ELKO, flagpole and flag-dipole spinor fields, and the instanton Hopf fibration
• Kinematics and hydrodynamics of spinning particles: some simple considerations
• Dirac-Hestenes spinor fields on Riemann-Cartan manifolds
• What is erased in the quantum erasure?
• The Dirac-Hestenes equation and its relation with the relativistic de Broglie-Bohm theory
• The relativistic Hamilton-Jacobi equation for a massive, charged and spinning particle, its equivalent Dirac equation and the de Broglie-Bohm theory
• Unfolding physics from the algebraic classification of spinor fields
• Dirac spinors in Bianchi-I f(R)-cosmology with torsion
• Bilinear covariants and spinor fields duality in quantum Clifford algebras
• Torsion gravity for Dirac fields
• Soliton solutions of nonlinear Dirac equations
• Torsion gravity for Dirac particles
• Flag-dipole spinor fields in ESK gravities
• A generally relativistic gauge classification of the Dirac fields
• Some Observable Effects of the Quantum-Mechanical Fluctuations of the Electromagnetic Field