Abstract
In this paper we analyze the formal and conceptual steps made by Ettore Majorana in a wide set of unpublished (handwritten) manuscripts (Quaderni, Fascicoli, Volumetti) written in later 20's and earlier 30's where, starting from the Dirac equation for spin-1/2 particles, he developed quantum relativistic wave equations for different (integer and half-integer) spins. In such a way Majorana obtained a Dirac-like equation for the photon and an infinite component quantum field theory for particles of any spin, thus anticipating the modern supersymmetry and string theories.
Highlights
1 2 particles, he developed quantum relativistic wave equations for different (integer and half-integer) spins
1 2 particles, he developed quantum relativistic wave equations for different spins
The unpublished papers analyzed in this letter deal with the research of a formulation of a general theory for all elementary particles, which led Majorana first to the Dirac-like equation for photons and after, in 1932, to the infinite component field equation [4]
Summary
1 2 particles, he developed quantum relativistic wave equations for different (integer and half-integer) spins. The unpublished papers analyzed in this letter deal with the research of a formulation of a general theory for all elementary particles, which led Majorana first to the Dirac-like equation for photons and after, in 1932, to the infinite component field equation [4] Before the infinite component field equation, Majorana wrote very general finite component field equations [5], describing particles with any spin, which can describe not elementary, but composite systems [6, 7, 8].
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