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Darboux transformations for the massless Dirac equation with matrix potential: Construction of zero-energy states

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Abstract.

We develop a new method for constructing zero-energy states of the massless Dirac equation with a matrix potential. Our method is based on a Darboux transformation for Schrödinger-type equations featuring quadratically energy-dependent potentials.

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Authors and Affiliations

  1. Department of Mathematics and Actuarial Science and Department of Physics, Indiana University Northwest, 3400 Broadway, 46408, Gary, IN, USA

    Axel Schulze-Halberg & Mahmoud Ojel

Authors
  1. Axel Schulze-Halberg
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  2. Mahmoud Ojel
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Correspondence to Axel Schulze-Halberg.

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Schulze-Halberg, A., Ojel, M. Darboux transformations for the massless Dirac equation with matrix potential: Construction of zero-energy states. Eur. Phys. J. Plus 134, 49 (2019). https://doi.org/10.1140/epjp/i2019-12460-2

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  • DOI: https://doi.org/10.1140/epjp/i2019-12460-2

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