Position-dependent mass Schrodinger 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) Schodinger particles moving in an elastic medium with space-like screw dislocation. Within the cylindrical coordinates (r, phi, z), 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) = lambda r(sigma) (which manifestly introduces the metaphoric notion of PDM-Schodinger 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).