Solving the Coulomb scattering problem using the complex scaling method
Atomic Physics
2015-05-27 v1 Nuclear Theory
Abstract
Based on the work of Nuttall and Cohen [Phys. Rev. {\bf 188} (1969) 1542] and Resigno et al{} [Phys. Rev. A {\bf 55} (1997) 4253] 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 Schr\"odinger 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.
Cite
@article{arxiv.1102.0567,
title = {Solving the Coulomb scattering problem using the complex scaling method},
author = {M. V. Volkov and N. Elander and E. Yarevsky and S. L. Yakovlev},
journal= {arXiv preprint arXiv:1102.0567},
year = {2015}
}
Comments
3 pages, 3 figures