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Klein Paradox for the Bosonic Equation in the Presence of Minimal Length

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Abstract

We present an exact solution of the one-dimensional modified Klein Gordon and Duffin Kemmer Petiau (for spins 0 and 1) equations with a step potential in the presence of minimal length in the uncertainty relation, where the expressions of the new transmission and reflection coefficients are determined for all cases. As an application, the Klein paradox in the presence of minimal length is discussed for all equations.

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Acknowledgments

We would like to thank Prof. T. Boudjedaa from Jijel University, Algeria, for his help and advice in the achievement of this work.

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Authors and Affiliations

  1. Laboratoire (L.S.D.C), Faculté des Sciences Exactes, Université de Oum El Bouaghi, 04000, Oum El Bouaghi, Algeria

    M. Falek & M. Merad

  2. Département des Sciences de la Matière, Faculté des Sciences Exactes & S.N.V, Université de Biskra, 07000, Biskra, Algeria

    M. Falek & M. Moumni

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  1. M. Falek
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Falek, M., Merad, M. & Moumni, M. Klein Paradox for the Bosonic Equation in the Presence of Minimal Length. Found Phys 45, 507–524 (2015). https://doi.org/10.1007/s10701-015-9880-y

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  • DOI: https://doi.org/10.1007/s10701-015-9880-y

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