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Integral Representation for the Nonrelativistic Coulomb Green's Function

### Abstract

Although the radial Green's function for the Schrödinger equation in a Coulomb field can be obtained in the usual way in terms of the two linearly independent solutions to the radial equation for a particular angular momentum state, the sum over angular momentum states does not seem to have been carried out. In this note this sum is carried out and a ``closed form'' obtained in the form of a double integral. The result is believed to be useful for perturbation calculations where the ``intermediate states'' involve many angular momentum states.

© 1961 American Institute of Physics

Received 26 August 1960
Published online 22 December 2004

/content/aip/journal/jmp/2/2/10.1063/1.1703696

http://aip.metastore.ingenta.com/content/aip/journal/jmp/2/2/10.1063/1.1703696

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