15 citations · 91 across the 15 of their papers we have counts for
5 papers · 1 filter
Lanczos's functional theory of electrodynamics: A commentary on Lanczos's PhD dissertation
Andre Gsponer, Jean-Pierre Hurni
Lanczos's idea of classical electrodynamics as a biquaternionic field theory in which point singularities are interpreted as electrons is reevaluated. Using covariant quaternionic…
Explicit closed-form parametrization of SU(3) and SU(4) in terms of complex quaternions and elementary functions
Andre Gsponer
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…
Lanczos's equation as a way out of the spin 3/2 crisis?
Andre Gsponer, Jean-Pierre Hurni
It is shown (1) that Lanczos's quaternionic formulation of Dirac's equation does not lead to a solution of the problems that plague the standard spin 3/2 theory based on the Rarita…
Comment on formulating and generalizing Dirac's, Proca's, and Maxwell's equations with biquaternions or Clifford numbers
Andre Gsponer, Jean-Pierre Hurni
Many difficulties of interpretation met by contemporary researchers attempting to recast or generalize Dirac's, Proca's, or Maxwell's theories using biquaternions or Clifford numbe…
On the "equivalence" of the Maxwell and Dirac equations
Andre Gsponer
It 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 ψin the representation \vec{F} = ψ\vec{u} \bar…