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Darboux Transformations for a Class of Duffin–Kemmer–Petiau Equations Governing Spin-Zero Systems

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Abstract

We construct Darboux transformations for a particular class of (1+2)-dimensional spin-zero systems governed by the Duffin–Kemmer–Petiau (DKP) equation. These transformations, consisting of two algorithms, are based on an adaptation of results for coupled Korteweg-de Vries equations, and on the close relationship between the DKP and the Klein–Gordon equation. We derive the explicit form of solutions and potentials pertaining to the Darboux-transformed DKP equation, and we state a reality condition for the transformed potentials. Our results are illustrated by an application.

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Authors and Affiliations

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

    Axel Schulze-Halberg

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  1. Axel Schulze-Halberg
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AS-H contributed idea, research, and write-up of the manuscript.

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Schulze-Halberg, A. Darboux Transformations for a Class of Duffin–Kemmer–Petiau Equations Governing Spin-Zero Systems. Few-Body Syst 64, 84 (2023). https://doi.org/10.1007/s00601-023-01864-3

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