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arXiv · 2102.13561

Dirac systems with magnetic field and position dependent mass: Darboux transformations and equivalence with generalized Dirac oscillators

Axel Schulze-Halberg·Pinaki Roy
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Abstract

We construct a Darboux transformation for a class of two-dimensional Dirac systems at zero energy. Our starting equation features a position-dependent mass, a matrix potential, and an additional degree of freedom that can be interpreted either as a magnetic field perpendicular to the plane or a generalized Dirac oscillator interaction. We obtain a number of Darbouxtransformed Dirac equations for which the zero energy solutions are exactly known.

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Axel Schulze-Halberg, Pinaki Roy. 2021-02-26. Dirac systems with magnetic field and position dependent mass: Darboux transformations and equivalence with generalized Dirac oscillators. https://doi.org/10.1016/j.aop.2021.168534

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