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- Publications
- Influence
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
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
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
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