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

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