The Pauli-Lubanski Vector, Complex Electrodynamics, and Photon Helicity
Sergey I. Kryuchkov, Nathan A. Lanfear, and Sergei K. Suslov
TL;DR
This paper explores the relationship between photon helicity and the Pauli-Lubanski vector using complex electromagnetic fields and Maxwell's equations, providing a theoretical analysis of photon properties.
Contribution
It offers a novel theoretical perspective on photon helicity by employing complex electromagnetic fields and Maxwell's equations, connecting historical and modern viewpoints.
Findings
Clarifies the connection between photon helicity and the Pauli-Lubanski vector.
Introduces a complex form of Maxwell's equations for analysis.
Provides insights into the historical context of complex electromagnetic fields.
Abstract
We critically analyze the concept of photon helicity and its connection with the Pauli-Lubanski vector from the viewpoint of the complex electromagnetic field, F=E+iH, sometimes attributed to Riemann but studied by Weber, Silberstein, and Minkowski. To this end, a complex form of Maxwell's equations is used.
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Taxonomy
TopicsExperimental and Theoretical Physics Studies · Quantum and Classical Electrodynamics · Quantum Mechanics and Applications