Dynamical constants of structured photons with parabolic-cylindrical symmetry

TL;DR

This paper investigates electromagnetic modes with parabolic-cylindrical symmetry, identifying a new dynamical constant linked to the symmetry operator, applicable in both classical and quantum contexts.

Contribution

It introduces a novel dynamical constant for electromagnetic fields with parabolic-cylindrical symmetry, expanding understanding of their fundamental properties.

Findings

Discovered a new dynamical constant for structured photons.

Linked the constant to a specific symmetry operator.

Validated the constant in both classical and quantum frameworks.

Abstract

Electromagnetic modes with parabolic-cylindrical symmetry and their dynamical variables are studied both in the classical and quantum realm. As a result, a new dynamical constant for the electromagnetic field is identified and linked to the symmetry operator which supports it.