Summary
The Dirac theory of the relativistic electron is reformulated—without any reference to spinor formalisms—exploiting the properties of one of the « concrete » representations of the homogeneous Lorentz group, which are generated by differential operators acting in the space of the functions of six Eulerian angles.
Riassunto
Si riformula la teoria dell’elettrone di Dirac evitando il ricorso a formalismi spinoriali e sfruttando invece la proprietà di una delle rappresentazioni « concrete » del gruppo di Lorentz omogeneo generate da operatori differenziali agenti nello spazio delle funzioni di sei angoli euleriani.
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Literatur
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Functions of this type have been considered byC. van Winter:Space-Time Rotations and Isobaric Spin (Thesis, Groningen, 1957), p. 47 foll.
Our physical object possessessix internal degrees of freedom—not eight, as stated byGrossmann andPeres (5)—just as it were a Minkowskian hypersphere.
F. Lurçat:Physics-Physique-ФИЗИКА,1, 95 (1964). Lurçat’s central idea is that spin must be treated on the same footing as mass, and consequently it must be allowed to play a dynamical role.
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Loinger, A., Sparzani, A. Dirac equation without Dirac matrices. Nuovo Cim 39, 1140–1145 (1965). https://doi.org/10.1007/BF02734545
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DOI: https://doi.org/10.1007/BF02734545