dorsal/arxiv
View SchemaLanczos - Einstein - Petiau: From Dirac's equation to nonlinear wave mechanics
| Authors | Andre Gsponer, Jean-Pierre Hurni |
|---|---|
| Categories | |
| ArXiv ID | physics/0508036 |
| URL | https://arxiv.org/abs/physics/0508036 |
| Journal | W.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 |
Abstract
In 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.
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"abstract": "In 1929 Lanczos showed how to derive Dirac\u0027s equation from a more fundamental\nsystem that predicted that spin 1/2 particles should come in pairs. Today,\nthese pairs can unambiguously be interpreted as isospin doublets. From the same\nfundamental equation, Lanczos derived also the correct form of the wave\nequation of massive spin 1 particles that would be rediscovered in 1936 by\nProca.\n Lanczos\u0027s fundamental system was put in Lagrangian form and generalized in\n1933 by Einstein and Mayer, who used the semivector instead of the quaternion\nformalism. Although they not did study all possible solutions, Einstein and\nMayer showed that the doublets consisted of particles with different mass and\ncharge. In fact, there are two main classes of doublets: proton/neutron and\nelectron/neutrino pairs.",
"arxiv_id": "physics/0508036",
"authors": [
"Andre Gsponer",
"Jean-Pierre Hurni"
],
"categories": [
"physics.hist-ph"
],
"journal_ref": "W.R. Davis, et al., Cornelius Lanczos Collected Published Papers\n With Commentaries (North Carolina State University, Raleigh, 1998) Vol. III,\n p. 2-1248 to 2-1277",
"title": "Lanczos - Einstein - Petiau: From Dirac\u0027s equation to nonlinear wave mechanics",
"url": "https://arxiv.org/abs/physics/0508036"
},
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