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What is spin
This is a late answer to question #79 by R.I. Khrapko, "Does plane wave not carry a spin?," Am. J. Phys. /69/, 405 (2001), and a complement (on gauge invariance, massive spin 1 and 1/2, and masslessExpand
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Quaternions in mathematical physics (2): Analytical bibliography
This is part two of a series of four methodological papers on (bi)quaternions and their use in theoretical and mathematical physics: 1-Alphabetical bibliography , 2-Analytical bibliography,Expand
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The strange formula of Dr. Koide
We present a short historical and bibliographical review of the lepton mass formula of Yoshio Koide, as well as some speculations on its extensions to quark and neutrino masses, and its possibleExpand
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Physics of high-intensity high-energy particle beam propagation in open air and outer-space plasmas
This report is a self-contained and comprehensive review of the physics of propagating pulses of high-intensity high-energy particle beams in pre-existing or self-generated plasmas. Consideration isExpand
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THE PHYSICAL HERITAGE OF SIR W.R. HAMILTON
years after the discovery of quaternions, Hamilton's conjecture that quaternions are a fundamental language for physics is reevaluated and shown to be essentially correct, provided one admits complexExpand
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Lanczos's functional theory of electrodynamics: A commentary on Lanczos's PhD dissertation
Lanczos's idea of classical electrodynamics as a biquaternionic field theory in which point singularities are interpreted as electrons is reevaluated. Using covariant quaternionic integrationExpand
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On the “Equivalence” of the Maxwell and Dirac Equations
AbstractIt is shown that Maxwell's equation cannot be put into a spinor form that is equivalent to Dirac's equation. First of all, the spinor ψ in the representation $$\vec F = \psi \vec u\psi $$ Expand
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Explicit closed-form parametrization of SU(3) and SU(4) in terms of complex quaternions and elementary functions
Remarkably simple closed-form expressions for the elements of the groups SU(n), SL(n,R), and SL(n,C) with n=2, 3, and 4 are obtained using linear functions of biquaternions instead of n x n matrices.Expand
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Distributions in spherical coordinates with applications to classical electrodynamics
A general and rigorous method to deal with singularities at the origin of a polar coordinate system is presented. Its power derives from a clear distinction between the radial distance and the radialExpand
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