Interaction of the magnetic quadrupole moment of a non-relativistic particle with an electric field in the background of screw dislocations with a rotating frame

TL;DR

This paper investigates how a magnetic quadrupole moment interacts with an electric field in a rotating frame within a medium containing screw dislocations, revealing topological effects on quantum states.

Contribution

It introduces an analytical solution for a quantum particle with a magnetic quadrupole moment in a topologically defected medium under rotation and electric fields, highlighting the impact on energy levels.

Findings

Topological defects cause shifts in angular momentum quantum numbers.

Energy eigenvalues are affected by screw dislocations and rotation.

Wave functions are modified due to the medium's topological properties.

Abstract

In this study, we considered a moving particle with a magnetic quadrupole moment in an elastic medium in the presence of a screw dislocation. We assumed a radial electric field in a rotating frame that leads a uniform effective magnetic field perpendicular to the plane of motion. We solved the Schr\"odinger equation to derive wave and energy eigenvalue functions by employing analytical methods for two interaction configurations: in the absence of potential and in the presence of a static scalar potential. Due to the topological defect in the medium, we observed a shift in the angular momentum quantum number which affects the energy eigenvalues and the wave function of the system.