Inconsistencies of a purported probability current in the Duffin-Kemmer-Petiau theory
T.R. Cardoso, L.B. Castro, A.S. de Castro
TL;DR
This paper critically examines the probability current in the DKP theory, demonstrating the Klein paradox presence and correcting misconceptions, thereby clarifying the theory's physical interpretations.
Contribution
It refutes the proposed new probability current in DKP theory and clarifies the existence of the Klein paradox within this framework.
Findings
The proposed new current is inconsistent with DKP theory.
The Klein paradox exists in the DKP framework.
Misconceptions in the literature are corrected.
Abstract
The Duffin-Kemmer-Petiau (DKP) equation with a square step potential is used in a simple way with polymorphic purposes. It proves adequate to refuse a proposed new current that is currently interpreted as a probability current,to show that the Klein paradox does exist in the DKP theory and to revise other minor misconceptions diffused in the literature.
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