# Complex Form of Classical and Quantum Electrodynamics

@article{Kryuchkov2016ComplexFO, title={Complex Form of Classical and Quantum Electrodynamics}, author={Sergey I. Kryuchkov and Nathan A. Lanfear and Sergei K. Suslov}, journal={arXiv: Mathematical Physics}, year={2016} }

We consider a complex covariant form of the macroscopic Maxwell equations, in a moving medium or at rest, following the original ideas of Minkowski. A compact, Lorentz invariant, derivation of the energy-momentum tensor and the corresponding differential balance equations are given. Conservation laws and quantization of electromagnetic field will be discussed in this covariant approach elsewhere.

## 8 Citations

### Matrix Approach to Helicity States of Dirac Free Particles

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- 2022

. We derive the free wave solutions of the Dirac equation from the viewpoint of matrix algebra. The concept of spin and the corresponding helicity states are analyzed in detail. This consideration…

### The Pauli–Lubański vector, complex electrodynamics, and photon helicity

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We critically analyze the concept of photon helicity and its connection with the Pauli–Lubański vector from the viewpoint of the complex electromagnetic field, E + i H , ?> sometimes attributed to…

### The Pauli-Lubanski Vector in a Group-Theoretical Approach to Relativistic Wave Equations

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- 2016

Chapter 1 introduces some key elements of important topics such as; quantum mechanics, representation theory of the Lorentz and Poincaré groups, and a review of some basic relativistic wave equations…

### The Role of the Pauli-Lubanski Vector for the Dirac, Weyl, Proca, and Maxwell Equations

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- 2015

We analyze basic wave equations for the classical relativistic fields, such as Dirac's equation, Weyl's two-component equation for massless neutrinos, and the Proca and Maxwell equations, from the…

### The electromagnetic field in gravitational wave interferometers

- PhysicsClassical and Quantum Gravity
- 2021

We analyse the response of laser interferometric gravitational wave detectors using the full Maxwell equations in curved spacetime in the presence of weak gravitational waves. Existence and…

### The role of the Pauli–Lubański vector for the Dirac, Weyl, Proca, Maxwell and Fierz–Pauli equations

- Physics
- 2015

We analyze basic relativistic wave equations for the classical fields, such as Dirac's equation, Weyl's two-component equation for massless neutrinos and the Proca, Maxwell and Fierz–Pauli equations,…

### A new model of covariant electrodynamics of moving media based on an alternative coordinate transformation relation instead of the usual Lorentz transformation

- PhysicsThe European Physical Journal Plus
- 2022

There exist persistently unsolved problems in electrodynamics of moving media, which are usually related to application of Lorentz transformation. In this work, applying an alternative coordinate…

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We critically analyze the concept of photon helicity and its connection with the Pauli–Lubański vector from the viewpoint of the complex electromagnetic field, E + i H , ?> sometimes attributed to…

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