## 24 Citations

On real solutions of the Dirac equation for a one-dimensional Majorana particle

- Mathematics, Physics
- 2019

From Higher Spins to Strings: A Primer

- Physics
- 2015

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

- Mathematics
- 2021

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

- Mathematics
- 2021

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

- PhysicsThe European Physical Journal Plus
- 2022

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

- PhysicsPhysics Essays
- 2019

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

- Physics
- 2016

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

- Mathematics
- 2013

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 ?

- Mathematics
- 2021

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

- Physics
- 2018

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…

## References

SHOWING 1-10 OF 125 REFERENCES

The Particle Aspect of Meson Theory

- Physics
- 1939

1. Introduction For many years a central problem of theoretical physics has been to set up a satisfactory relativistic theory of elementary particles. This problem is yet far from solution, the…

The quantum theory of the electron

- Physics
- 1928

The new quantum mechanics, when applied to the problem of the structure of the atom with point-charge electrons, does not give results in agreement with experiment. The discrepancies consist of…

On relativistic wave equations for particles of arbitrary spin in an electromagnetic field

- Physics
- 1939

The investigations of Dirac (1936) on relativistic wave equations for particles with arbitrary spin have recently been followed up by one of us (Fierz, 1939, referred to as (A)) It was there found…

Theory of Mesons and Nuclear Forces

- PhysicsNature
- 1939

As was first pointed out by Yukawa, it is in principle possible to account for the short-range forces between nuclear particles by the assumption of virtual emission and absorption processes…

Quantum Theory of Einstein-Bose Particles and Nuclear Interaction

- Physics
- 1938

The description of nuclear interaction in terms of a neutron-proton "exchange force” appears to be well justified and generally accepted. However, there has hitherto been no satisfactory suggestion…

Quantised Singularities in the Electromagnetic Field

- Physics
- 1931

The steady progress of physics requires for its theoretical formulation a mathematics that gets continually more advanced. This is only natural and to be expected. What, however, was not expected by…

The Quantum Theory of the Electron. Part II

- Physics
- 1928

In a previous paper by the author* it is shown that the general theory of quantum mechanics together with relativity require the wave equation for an electron moving in an arbitrary electromagnetic…

80 Years of Professor Wigner's Seminal Work "On Unitary Representations of the Inhomogeneous Lorentz Group"

- Physics
- 1939

It is perhaps the most fundamental principle of Quantum Mechanics that the system of states forms a linear manifold,1 in which a unitary scalar product is defined.2 The states are generally…

A Theory of Electrons and Protons

- Physics
- 1930

The relativity quantum theory of an electron moving in a given electromagnetic field, although successful in predicting the spin properties of the electron, yet involves one serious difficulty which…