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Dirac equation without Dirac matrices

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Il Nuovo Cimento (1955-1965)

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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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

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