On exact solutions of the equation for a pion in external fields III

TL;DR

This paper derives exact solutions for a composite scalar particle with polarizabilities in a uniform magnetic field, connecting quantum states to classical electromagnetic waves in the limit of high photon number.

Contribution

It provides new exact solutions for a scalar particle with electric and magnetic polarizabilities in external magnetic fields, including the transition to classical wave behavior.

Findings

Solutions reduce to classical electromagnetic wave states at high photon numbers

Exact solutions for a particle with polarizabilities in magnetic fields are obtained

Relativistic coherent states are characterized in the context of photon fields

Abstract

The exact solutions of the equation for a composite scalar particle which possesses electric and magnetic polarizabilities are found in an external uniform static magnetic field parallel to the direction of propagation of the quantized electromagnetic wave. As a particular case, the relativistic coherent states of a particle in the field of photons were considered. When the average photon number trends to infinity, the solution tends to the solution corresponding to the external classical electromagnetic wave with circular polarization.