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  1. 1 Nikolopoulos L.

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Calculation method for the continuum states of atomic systems

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Nikolopoulos L.
Open Physics
|
2013
|
vol. 11
|
issue 9
1074-1081
EN
In the present work, we develop a calculational method of solving the scattering equations for spherically symmetric potentials by expanding the solutions on Coulomb functions. We utilize a multistep integration scheme together with the standard partial wave analysis in a region where the potential term dominates. The method applies to any physical problem expressed as [∇ 2 + V(r) + k 2]ψ(r) = 0, while the extension of the method to more general scattering problems is briefly discussed. At present, we demonstrate a two-step Coulomb-fitted integration scheme by calculating the short-range scattering phase shifts for various potentials V (r).
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