Physics – History and Philosophy of Physics
Scientific paper
2005-08-04
W.R. Davis, et al., Cornelius Lanczos Collected Published Papers With Commentaries (North Carolina State University, Raleigh,
Physics
History and Philosophy of Physics
52 pages. Posted on August 4, 2005, as a tribute to Sir William Rowan Hamilton, on the occasion of his 200th birthday
Scientific paper
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.
Gsponer Andre
Hurni Jean-Pierre
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