A new route to the Majorana equation
type: Item
instance of: scholarly article
title: A new route to the Majorana equation
zbMATH Open document ID: 1351.81042
author: Eckart Marsch
published in: Symmetry
publication date: 2016-12-09T00:00:00Z
review text: Summary: In this paper, we suggest an alternative strategy to derive the complex two-component Majorana equation with a mass term and elucidate the related Lorentz transformation. The Majorana equation is established completely on its own, rather than derived from the chiral Dirac equation. Thereby, use is made of the complex conjugation operator and Pauli spin matrices only. The eigenfunctions of the two-component complex Majorana equation are also calculated. The associated quantum fields are found to describe particles and antiparticles, which have opposite mean helicities and are not their own antiparticles, but correspond to two independent degrees of freedom. The four-component real Dirac equation in its Majorana representation is shown to be the natural outcome of the two-component complex Majorana equation. Both types of equations come in two forms, which correspond to the irreducible left- and right-chiral representations of the Lorentz group.
Mathematics Subject Classification ID: 81Q05
Mathematics Subject Classification ID: 81Q12
Mathematics Subject Classification ID: 35Q40
zbMATH DE Number: 6662282
zbMATH Keywords: Majorana field
zbMATH Keywords: chiral symmetry
zbMATH Keywords: Lorentz transformation
MaRDI profile type: Publication
full work available at URL: sym5040271
OpenAlex ID: W1975163385
cites work: Reformulation of the Majorana Theory of the Neutrino
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cites work: On the Majorana equation: relations between its complex two-component and real four-component eigenfunctions
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cites work: Two-Component Wave Equations
DOI: 10.3390/SYM5040271
description: scientific article; zbMATH DE number 6662282