32 citations · 286 across the 44 of their papers we have counts for
5 papers · 2 filters
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…
The physical heritage of Sir W.R. Hamilton
Andre Gsponer, Jean-Pierre Hurni
150 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, prov…
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…