Searching for an equation: Dirac, Majorana and the others

@article{Esposito2012SearchingFA,
  title={Searching for an equation: Dirac, Majorana and the others},
  author={Salvatore Esposito},
  journal={Annals of Physics},
  year={2012},
  volume={327},
  pages={1617-1644}
}
  • S. Esposito
  • Published 31 October 2011
  • Physics
  • Annals of Physics
View PDF on arXiv
24 Citations
Background Citations
5

24 Citations

On real solutions of the Dirac equation for a one-dimensional Majorana particle
From Higher Spins to Strings: A Primer
A contribution to the collection of reviews "Introduction to Higher Spin Theory" edited by S. Fredenhagen, this introductory article is a pedagogical account of higher-spin fields and their…
On wave equations for the Majorana particle in (3+1) and (1+1) dimensions
In general, the relativistic wave equation considered to mathematically describe the so-called Majorana particle is the Dirac equation with a real Lorentz scalar potential plus the so-called Majorana…
On wave equations for the Majorana particle in (3+1) and (1+1) dimensions
In general, the relativistic wave equation considered to mathematically describe the so-called Majorana particle is the Dirac equation with a real Lorentz scalar potential plus the so-called…
Lorentz invariance and the spinor-helicity formalism yield the U(1) and SU(3) fermion symmetry
In this paper we use the so-called spinor-helicity formalism to represent three-vectors in terms of the Pauli matrices and derive a generalized relativistic wave equation for a massive fermion of…
A theory of special relativity based on four-displacement of particles instead of Minkowski four-position
All Lorentz four-vectors of Special Relativity (SR) are derived from a basic Lorentz four-position in a Minkowski space. This article explores use of a Lorentz four-displacement, describing…
Spinor Structure and Matter Spectrum
Classification of relativistic wave equations is given on the ground of interlocking representations of the Lorentz group. A system of interlocking representations is associated with a system of…
Covariant basis induced by parity for the(j,0)⊕(0,j)representation
In this work, we build a covariant basis for operators acting on the $(j,0)\oplus(0,j)$ Lorentz group representations. The construction is based on an analysis of the covariant properties of the…
A pr 2 02 1 What Is the Generalized Representation of Dirac Equation in Two Dimensions ?
In this work, the general form of 2×2 Dirac matrices for 2+1 dimension is found. In order to find this general representation, all relations among the elements of the matrices and matrices themselves…
2 0 O ct 2 01 6 Spinor Structure and Matter Spectrum
Classification of relativistic wave equations is given on the ground of interlocking representations of the Lorentz group. A system of interlocking representations is associated with a system of…
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