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

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.

References in corpus (2)

• One- and two-dimensional Coulomb Green's function matrices in parabolic Sturmians basis
• The parabolic Sturmian-function basis representation of the six-dimensional Coulomb Green's function