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20022005
most citedLanczos - Einstein - Petiau: From Dirac's equation to nonlinear wave mechanics

15 citations · 91 across the 15 of their papers we have counts for

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Showing 2002Show all

6 papers · 1 filter

physics.med-ph20024 cited

A comparison of delayed radiobiological effects of depleted-uranium munitions versus fourth-generation nuclear weapons

Andre Gsponer, Jean-Pierre Hurni, Bruno Vitale

It is shown that the radiological burden due to the battlefield use of circa 400 tons of depleted-uranium munitions in Iraq (and of about 40 tons in Yugoslavia) is comparable to th…

math-ph20025 cited

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…

math-ph20021 cited

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…

math-ph2002

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…

hep-ph2002

Non-linear field theory for lepton and quark masses

Andre Gsponer, Jean-Pierre Hurni

Barut's formula for the mass of leptons is successfully extended to quarks. A very simple non-linear scalar field model explains both the N^4 power law dependence of the mass, and…

math-ph2002

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…