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What is spin

- A. Gsponer
- Physics
- 6 August 2003

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 massless… Expand

Quaternions in mathematical physics (2): Analytical bibliography

- A. Gsponer, J. Hurni
- Physics, Mathematics
- 30 November 2005

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

The strange formula of Dr. Koide

- A. Rivero, A. Gsponer
- Physics
- 25 May 2005

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 possible… Expand

On the “Equivalence” of the Maxwell and Dirac Equations

- A. Gsponer
- Physics, Mathematics
- 25 January 2002

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

Physics of high-intensity high-energy particle beam propagation in open air and outer-space plasmas

- A. Gsponer
- Physics
- 29 September 2004

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 is… Expand

THE PHYSICAL HERITAGE OF SIR W.R. HAMILTON

- A. Gsponer, J. Hurni
- Physics, Mathematics
- 28 January 2002

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 complex… Expand

Lanczos's functional theory of electrodynamics: A commentary on Lanczos's PhD dissertation

- A. Gsponer, J. Hurni
- Physics, Mathematics
- 5 February 2004

Lanczos's idea of classical electrodynamics as a biquaternionic field theory in which point singularities are interpreted as electrons is reevaluated. Using covariant quaternionic integration… Expand

Explicit closed-form parametrization of SU(3) and SU(4) in terms of complex quaternions and elementary functions

- A. Gsponer
- Mathematics, Physics
- 22 November 2002

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

Distributions in spherical coordinates with applications to classical electrodynamics

- A. Gsponer
- Physics, Mathematics
- 25 May 2004

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 radial… Expand

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