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

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

The possibility of using straight-line paths of integration in computing the integral representation of the three-body Coulomb Green's function is discussed. In our numerical examples two different kinds of integration contours in the complex energy planes are considered. It is demonstrated tha...

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Veröffentlicht in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2010-09, Vol.43 (38), p.385208-385208
1. Verfasser: Zaytsev, S A
Format: Artikel
Sprache:eng
Schlagworte:
Contours
Coulomb friction
Green's functions
Integrals
Mathematical models
Numerical analysis
Planes
Representations
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Zusammenfassung:The possibility of using straight-line paths of integration in computing the integral representation of the three-body Coulomb Green's function is discussed. In our numerical examples two different kinds of integration contours in the complex energy planes are considered. It is demonstrated that straight-line paths, which cross the positive real axis, are suitable for numerical computation.
ISSN:1751-8121
1751-8113
1751-8121
DOI:10.1088/1751-8113/43/38/385208