Solutions to the 1d Klein–Gordon equation with cut-off Coulomb potentials

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Solutions to the 1d Klein-Gordon equation with cutoff Coulomb potentials

In a recent paper by Barton (J. Phys. A 40, 1011 (2007)), the 1-dimensional KleinGordon equation was solved analytically for the non-singular Coulomb-like potential V1(|x|) = −α/(|x|+a). In the present paper, these results are completely confirmed by a numerical formulation that also allows a solution for an alternative cutoff Coulomb potential V2(|x|) = −α/|x|, |x| > a, and otherwise V2(|x|) =...

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ژورنال

عنوان ژورنال: Physics Letters A

سال: 2007

ISSN: 0375-9601

DOI: 10.1016/j.physleta.2007.07.003