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

2022/09/30 by Zeinab Algadhi, Omar Mustafa, Algadhi, Zeinab +1 · 2 citations
Physics and Astronomy · #Crystallography and Radiation Phenomena #FOS: Physical sciences #Gyrotron and Vacuum Electronics Research #Quantum Mechanics and Non-Hermitian Physics #Quantum Physics (quant-ph)

paper · pdf · doi:10.48550/arxiv.2209.15344

openalex publication_date 2022/09/30 · openalex created_date 2022/10/04 · openalex updated_date 2026/07/28

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 r²

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• Screw-dislocation-engineered quantum dot: geometry-tunable nonlinear optics, orbital qubit addressability, and torsion metrology
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