Lanczos - Einstein - Petiau: From Dirac's equation to nonlinear wave mechanics

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dc.creatorGsponer, Andre
dc.creatorHurni, Jean-Pierre
dc.date2005-08-04
dc.date2005-08-10
dc.date.accessioned2026-07-07T06:32:12Z
dc.date.available2026-07-07T06:32:12Z
dc.descriptionIn 1929 Lanczos showed how to derive Dirac's equation from a more fundamental system that predicted that spin 1/2 particles should come in pairs. Today, these pairs can unambiguously be interpreted as isospin doublets. From the same fundamental equation, Lanczos derived also the correct form of the wave equation of massive spin 1 particles that would be rediscovered in 1936 by Proca. Lanczos's fundamental system was put in Lagrangian form and generalized in 1933 by Einstein and Mayer, who used the semivector instead of the quaternion formalism. Although they not did study all possible solutions, Einstein and Mayer showed that the doublets consisted of particles with different mass and charge. In fact, there are two main classes of doublets: proton/neutron and electron/neutrino pairs.
dc.description52 pages. Posted on August 4, 2005, as a tribute to Sir William Rowan Hamilton, on the occasion of his 200th birthday
dc.identifierhttps://arxiv.org/abs/physics/0508036
dc.identifierhttp://arxiv.org/abs/physics/0508036
dc.identifierW.R. Davis, et al., Cornelius Lanczos Collected Published Papers With Commentaries (North Carolina State University, Raleigh, 1998) Vol. III, p. 2-1248 to 2-1277
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98832
dc.subjectHistory and Philosophy of Physics
dc.titleLanczos - Einstein - Petiau: From Dirac's equation to nonlinear wave mechanics
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