Polarizabilities of microparticles in relativistic field theory

TL;DR

This paper develops a relativistic tensor framework to describe the electric and magnetic polarizabilities of microparticles, deriving a Lagrangian for their interaction with electromagnetic fields based on Maxwell's equations.

Contribution

It introduces a new relativistic tensor formalism for microparticle polarizabilities and derives the corresponding interaction Lagrangian considering structural polarization effects.

Findings

Derived a relativistic tensor for electric and magnetic polarization

Obtained a Lagrangian describing electromagnetic interaction with microparticles

Provides a theoretical basis for analyzing microparticle polarizabilities in relativistic regimes

Abstract

The article determine a relativistic tensor of the second rank containing the vectors of the electric and magnetic polarization of the medium, based on the Maxwell equations and the determination of the charge density and polarization current of a structural microparticle. Using this tensor and the electromagnetic field tensor, the relativistic lagrangian of the interaction an electromagnetic field with a structural microparticle is obtained, taking into account the polarization of its structural elements. Based on the induced moments, the relativistic lagrangian of the interaction an electromagnetic field with a structural microparticle is constructed with considering the electric and magnetic polarizabilities.