English

Representation of the three-body Coulomb Green's function in parabolic coordinates: paths of integration

Mathematical Physics 2015-05-14 v2 math.MP Atomic Physics

Abstract

The possibility is discussed of using straight-line paths of integration in computing the integral representation of the three-body Coulomb Green's function. In our numerical examples two different integration contours are considered. It is demonstrated that only one of these straight-line paths provides that the integral representation is valid.

Keywords

Cite

@article{arxiv.0912.2401,
  title  = {Representation of the three-body Coulomb Green's function in parabolic coordinates: paths of integration},
  author = {S. A. Zaytsev},
  journal= {arXiv preprint arXiv:0912.2401},
  year   = {2015}
}