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

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