# On an atom with a magnetic quadrupole moment in a rotating frame

## TL;DR

This paper investigates how rotation and a scalar potential affect the quantum energy levels of an atom with a magnetic quadrupole moment in a uniform magnetic field, revealing modifications to Landau levels and restrictions on cyclotron frequency.

## Contribution

It introduces a quantum model for an atom with a magnetic quadrupole moment in a rotating frame with a scalar potential, highlighting the impact on energy spectra.

## Key findings

- Energy spectrum is modified from Landau levels.
- Restrictions on the cyclotron frequency due to rotation and scalar potential.
- The scalar potential influences the quantization conditions.

## Abstract

The quantum description of an atom with a magnetic quadrupole moment in the presence of a uniform effective magnetic field is analysed. The atom is also subject to rotation and a scalar potential proportional to the inverse of the radial distance. It is shown that the spectrum of energy is modified, in contrast to the Landau-type levels, and there is a restriction on the possible values of the cyclotron frequency which stems from the influence of the rotation and scalar potential proportional to the inverse of the radial distance.