Position-dependent mass Schr\"odinger particles in space-like screw dislocation: associated degeneracies and magnetic and Aharonov-Bohm flux fields effects

TL;DR

This paper investigates how position-dependent mass Schrödinger particles behave in a medium with screw dislocation, analyzing energy levels and degeneracies under magnetic and Aharonov-Bohm flux fields, with exact solutions for specific potentials.

Contribution

It introduces a model for PDM Schrödinger particles in a screw dislocation environment and derives exact eigenvalues and eigenfunctions considering magnetic and flux fields.

Findings

Energy levels are affected by screw dislocation and PDM settings.

Exact solutions are obtained for specific potentials.

Degeneracies depend on flux and dislocation parameters.

Abstract

We consider non-relativistic position-dependent mass (PDM) Schrodinger particles moving in an elastic medium with space-like screw dislocation. Within the cylindrical coordinates, we study and report the effects of screw dislocation as well as PDM settings on the energy levels of some PDM-quantum mechanical systems. In so doing, we use a power-law type positive-valued dimensionless scalar multiplier f(r) (Which manifestly introduces the metaphoric notion of PDM-Schrodinger particles). Next, we subject such PDM particles to magnetic and Aharonov-Bohm flux fields. We report exact or conditionally exact eigenvalues and eigenfunctions for V (r) = 0 and V (r) = a + b r + c r^2