On atomic analogue of Landau quantization

TL;DR

This paper explores the atomic analogue of Landau quantization for atoms with electric and magnetic dipole moments in external fields, including effects of noncommutative space, providing insights into quantum behavior similar to charged particles in magnetic fields.

Contribution

It introduces a model of atomic Landau quantization incorporating electric and magnetic dipoles and examines effects of noncommutative geometry on this system.

Findings

Atomic Landau levels are analogous to charged particle Landau levels.

Noncommutative coordinates modify the energy spectrum.

The study extends quantum Landau phenomena to atomic systems with dipoles.

Abstract

We have studied the physics of atoms with permanent electric dipole moment and non vanishing magnetic moment interacting with an electric field and inhomogeneous magnetic field. This system can be demonstrated as the atomic analogue of Landau quantization of charged particles in a uniform magnetic field. This Landau-like atomic problem is also studied with space-space noncommutative coordinates.