Effects on a Landau-type system for a neutral particle with no permanent electric dipole moment subject to the Kratzer potential in a rotating frame

TL;DR

This paper investigates how a neutral particle with an induced electric dipole moment behaves under the Kratzer potential in a rotating frame, revealing degeneracy breaking and new angular frequency contributions due to rotation.

Contribution

It introduces a detailed analysis of Landau-type levels for a neutral particle with an induced dipole in a rotating frame under the Kratzer potential, highlighting the effects of rotation on energy degeneracy.

Findings

Degeneracy of Landau-type levels is broken by rotation.

The angular frequency gains a new contribution from rotation effects.

Bound state solutions depend on quantum numbers, rotation speed, and potential parameters.

Abstract

The behaviour of a neutral particle (atom, molecule) with an induced electric dipole moment in a region with a uniform effective magnetic field under the influence of the Kratzer potential [A. Kratzer, Z. Phys. 3, 289 (1920)] and rotating effects is analysed. It is shown that the degeneracy of the Landau-type levels is broken and the angular frequency of the system acquires a new contribution that stems from the rotation effects. Moreover, in the search for bound states solutions, then, it is shown that the possible values of this angular frequency of the system are determined by the quantum numbers associated with the radial modes and the angular momentum, the angular velocity of the rotating frame and by the parameters associated with the Kratzer potential.