Derivation of the Dirac equation by conformal differential geometry

DOI10.1007/s10701-013-9703-yzbMath1272.81067OpenAlexW2080104521WikidataQ115383857 ScholiaQ115383857MaRDI QIDQ364096

Francesco De Martini, Enrico Santamato

Publication date: 5 September 2013

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

Full work available at URL: https://doi.org/10.1007/s10701-013-9703-y

zbMATH Keywords

conformal geometryquantum spinrelativistic top

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40) Hamilton-Jacobi equations in mechanics (70H20) Lagrange's equations (70H03) Motion of the gyroscope (70E05)

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Cites Work

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• Gauge symmetries and fibre bundles. Applications to particle dynamics
• SOLVING THE NONLOCALITY RIDDLE BY CONFORMAL QUANTUM GEOMETRODYNAMICS
• Quantum Gravity: Whence, Whither?
• Classical particles with internal structure: General formalism and application to first-order internal spaces
• New ‘phase’ of quantum gravity
• A Suggested Interpretation of the Quantum Theory in Terms of "Hidden" Variables. I