Electric dipole in a magnetic field: some aspects of the problem

TL;DR

This paper explores the classical and quantum dynamics of electric dipoles in magnetic fields, analyzing various motion regimes including chaotic behavior and providing analytical solutions for specific cases.

Contribution

It presents new insights into the motion regimes of electric dipoles in magnetic fields, including the effects of rotating electric fields and quantum considerations.

Findings

Chaotic motion occurs with rotating electric fields.

Analytical solutions are provided for certain three-dimensional cases.

Quantum approach offers additional perspectives on the problem.

Abstract

In the paper some regimes of motion of an electric dipole placed in a uniform magnetic field are considered. The motion of both three-dimensional and two-dimensional dipole in the plane perpendicular to the magnetic field is studied. In the case of a two-dimensional dipole is discussed, in particular, the regime of chaotic dipole motion, which arises when, along with the magnetic field, there is an electric field rotating in the plane of motion. The motion of a three-dimensional dipole is discussed in cases that allow for analytical consideration. Finally, the same examples are used to discuss the quantum-mechanical approach to the problem.