The orthogonal real representations of the Poincare group
نویسنده
چکیده
DRAFT VERSION The Majorana spinor is an element of a 4 dimensional real vector space. The Majorana spinor representations of the Rotation and Lorentz groups are irreducible. The spinor fields are space-time dependent spinors, solutions of the free Dirac equation. We define the Majorana-Fourier transform and relate it to the linear momentum of a spin one-half Poincare group representation. We show that the projective representation of the Poincare group on the Majorana spinor field is orthogonal and irreducible. Using the Bargmann-Wigner equations, we study all orthogonal irreducible projective real representations of the Poincare group, with finite or null mass and discrete spin.
منابع مشابه
The orthogonal representation of the Poincare group on the Majorana spinor field
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