Calculation method for the continuum states of atomic systems

• Authors: Lampros Nikolopoulos
• Languages of publication: EN

Abstracts

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).

Keywords

EN

Schrödinger equation; photoionization; continuum states; Coulomb fitted method; multistep integration

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2013
• Volume: 11
• Issue: 9
• Pages: 1074-1081

Dates

published

1 - 9 - 2013

online

24 - 11 - 2013

Contributors

author

Lampros Nikolopoulos

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Identifiers

DOI

10.2478/s11534-013-0288-z