# The Majorana spinor representation of the Poincare group

@article{Pedro2013TheMS, title={The Majorana spinor representation of the Poincare group}, author={Leonardo Pedro}, journal={arXiv: Mathematical Physics}, year={2013} }

There are Poincare group representations on complex Hilbert spaces, like the Dirac spinor field, or real Hilbert spaces, like the electromagnetic field tensor. The Majorana spinor is an element of a 4 dimensional real vector space. The Majorana spinor field is a space-time dependent Majorana spinor, solution of the free Dirac equation. The Majorana-Fourier and Majorana-Hankel transforms of Majorana spinor fields are defined and related to the linear and angular momenta of a spin one-half…

## One Citation

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We focus here on the work of the italian physicist Ettore Majorana, and more particularly on his 1937 article on the symmetrical theory of the electron and the positron, probably one of the most…

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