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

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Date
2015
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Publisher
Springer
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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Keywords
Klein Paradox, Klein Gordon, Duffin Kemmer, Petiau equations, Minimal length
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