On planar quantum dynamics of a magnetic dipole moment in the presence of electric and magnetic fields

TL;DR

This paper analyzes the quantum behavior of a neutral magnetic dipole in electric and magnetic fields, deriving a simplified Hamiltonian that captures essential dynamics without approximations.

Contribution

It provides a nonrelativistic Hamiltonian formulation for planar quantum dynamics of magnetic dipoles in combined fields, highlighting key terms affecting system behavior.

Findings

Derived a simplified Hamiltonian for the system

Identified crucial terms influencing dynamics

Established criteria for planar quantum behavior

Abstract

The planar quantum dynamics of a neutral particle with a magnetic dipole moment in the presence of electric and magnetic fields is considered. The criteria to establish the planar dynamics reveal that the resulting nonrelativistic Hamiltonian has a simplified expression without making approximations, and some terms have crucial importance for system dynamics.