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arxiv: 0912.2401 · v2 · pith:R6TMXP7Vnew · submitted 2009-12-12 · 🧮 math-ph · math.MP· physics.atom-ph

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

classification 🧮 math-ph math.MPphysics.atom-ph
keywords integrationpathsrepresentationcoulombfunctiongreenintegralstraight-line
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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.

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