Spinning Particle with Anomalous Magnetic Moment in an External Plane Wave Field

TL;DR

This paper investigates the behavior of a spinning Dirac-Pauli particle with an anomalous magnetic moment interacting with an electromagnetic plane wave, deriving explicit solutions and analyzing the semi-classical approximation's validity.

Contribution

It provides explicit eigenfunctions and Green's functions for a spinning particle with an anomalous magnetic moment in a plane wave field, extending previous theoretical models.

Findings

Derived explicit eigenfunctions and Green's functions.

Compared wavefunctions with classical solutions to validate semi-classical approach.

Analyzed the interaction dynamics of a Dirac-Pauli particle in an external plane wave.

Abstract

In this paper we study the interaction of a Dirac-Pauli particle with an electromagnetic plane wave, by using a previously given generalization of the pseudo-classical Lagrangian for a spinning particle with an anomalous magnetic moment. We derive the explicit expressions for the eigenfunctions and the Green's functions of the theory. We discuss the validity of the semi-classical approach by comparing the wavefunctions with the (pseudo)-classical solutions of the Hamilton-Jacobi equation.