Irreducible tensor form for the AME coupling

TL;DR

This paper derives the angular magnetoelectric coupling in irreducible tensor form using multipole expansion and evaluates matrix elements for atomic electronic transitions, showing energy corrections grow with shorter wavelengths and higher charge.

Contribution

It introduces a new irreducible tensor form for the AME coupling and evaluates matrix elements for atomic systems, providing insights into energy correction behaviors.

Findings

Energy corrections increase with shorter wavelengths

Higher charge numbers lead to larger energy corrections

Provides a tensor form for AME coupling in atomic physics

Abstract

Using the multipole expansion of electromagnetic (EM) field, we present the angular magnetoelectric (AME) coupling in irreducible tensor form. We evaluate the matrix elements when the radiation source is described by electronic transitions in atomic systems. The results indicate that the energy corrections increase for short wavelengths and large charge number.