Quantum-mechanical description of spin-1 particles with electric dipole moments

TL;DR

This paper develops a quantum-mechanical framework for spin-1 particles with electric dipole moments, deriving equations of motion, and calculating their electric and magnetic polarizabilities for the first time.

Contribution

It extends the Proca-Corben-Schwinger equations to include electric dipole moments and provides the first calculation of polarizabilities for pointlike spin-1 particles.

Findings

Derived relativistic equations of motion.

Proved agreement between quantum and classical equations.

Calculated electric and magnetic polarizabilities of W bosons.

Abstract

The Proca-Corben-Schwinger equations for a spin-1 particle with an anomalous magnetic moment are added by a term describing an electric dipole moment, then they are reduced to a Hamiltonian form, and finally they are brought to the Foldy-Wouthuysen representation. Relativistic equations of motion are derived. The needed agreement between quantum-mechanical and classical relativistic equations of motion is proved. The scalar and tensor electric and magnetic polarizabilities of pointlike spin-1 particles (W bosons) are calculated for the first time.