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

• URL: http://arxiv.org/abs/2102.13561v1
• Date: Fri, 26 Feb 2021 16:04:42 GMT
• Title: Dirac systems with magnetic field and position dependent mass: Darboux transformations and equivalence with generalized Dirac oscillators
• Authors: Axel Schulze-Halberg and Pinaki Roy
• Abstract summary: 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. We obtain a number of Darbouxtransformed Dirac equations for which the zero energy solutions are exactly known.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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