Electric quadrupole moment of a neutral non-relativistic particle in the presence of screw dislocation

TL;DR

This paper analytically solves the Schrödinger equation for a spinless particle with an electric quadrupole moment in a medium with a screw dislocation, revealing how topological defects alter quantum states.

Contribution

It provides an exact solution for the quantum behavior of a quadrupole-carrying particle in a dislocated medium, highlighting the influence of topological defects on energy levels.

Findings

Energy eigenvalues are shifted due to screw dislocation.

Wave functions are modified by the topological defect.

Angular momentum quantum number is affected by the dislocation.

Abstract

In this contribution, we investigate the interaction between electric and magnetic fields with an electric quadrupole moment of a spinless particle moving in an elastic medium which has a topological defect (screw dislocation). By considering this interaction, the Schr\"odinger equation is exactly solved by using the analytical method. Thus, the eigenfunction and energy eigenvalues for two configurations are found. Meanwhile, by observing a shift in the angular momentum quantum number, the energy eigenvalues and the wave function of the system are modified, due to the screw dislocation in the medium.