Solutions to the 1d Klein-Gordon equation with cut-off Coulomb potentials |
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Authors: | Richard L Hall |
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Institution: | Department of Mathematics and Statistics, Concordia University, 1455 de Maisonneuve Boulevard West, Montréal, Québec, H3G 1M8, Canada |
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Abstract: | In a recent paper by Barton G. Barton, J. Phys. A: Math. Gen. 40 (2007) 1011], the 1-dimensional Klein-Gordon equation was solved analytically for the non-singular Coulomb-like potential V1(|x|)=−α/(|x|+a). In the present Letter, these results are completely confirmed by a numerical formulation that also allows a solution for an alternative cut-off Coulomb potential V2(|x|)=−α/|x|, |x|>a, and otherwise V2(|x|)=−α/a. |
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Keywords: | 03 65 Ge 03 65 Pm |
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