| Issue |
EPL
Volume 85, Number 3, February 2009
|
|
|---|---|---|
| Article Number | 30001 | |
| Number of page(s) | 6 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/85/30001 | |
| Published online | 02 February 2009 | |
Solving the Coulomb scattering problem using the complex-scaling method
1
Department of Physics, AlbaNova University Center, Stockholm University - 106 91 Stockholm, Sweden, EU
2
Department of Computational Physics, St. Petersburg State University - 198504 St. Petersburg, Russia
Corresponding author: miha@physto.se
Received:
18
November
2008
Accepted:
6
January
2009
We present a rigorous formalism for solving the scattering problem for long-range interactions without using exact asymptotic boundary conditions. The long-range interaction may contain both Coulomb and short-range potentials. The exterior complex-scaling method, applied to a specially constructed inhomogeneous Schrödinger equation, transforms the scattering problem into a boundary problem with zero boundary conditions. The local and integral representations for the scattering amplitudes have been derived. The formalism is illustrated with numerical examples.
PACS: 03.65.Nk – Scattering theory / 34.80.Bm – Elastic scattering
© EPLA, 2009
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