Volume 85, Number 3, February 2009
|Number of page(s)||6|
|Published online||02 February 2009|
Solving the Coulomb scattering problem using the complex-scaling method
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: firstname.lastname@example.org
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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