Starting from the problem of the vibrating string (which is studied in the framework of the canonical formalism), Majorana obtained a (classical) Dirac-like equation for a two-component field u=(u1,u2), where σ appear.
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(2009). Dirac Theory. In: Esposito, S., Recami, E., van der Merwe, A., Battiston, R. (eds) Ettore Majorana: Unpublished Research Notes on Theoretical Physics. Fundamental Theories of Physics, vol 159. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-9114-8_1
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