Integral representation of the Coulomb Green function derived from the Sturmian expansion

Journal Article · Fri Oct 01 04:00:00 EDT 2004 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.70.042704· OSTI ID:20646364

Shakeshaft, Robin ^[1]

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1. Physics Department, University of Southern California, Los Angeles, California 90089-0484 (United States)

We recast the Sturmian expansion of the one-particle Coulomb Green function as an integral which, through an appropriate choice of contour, is applicable anywhere on the Riemann energy surface (excluding the neighborhood of the negative real axis on the physical energy sheet, a region to which the series representation is ideally suited). As a numerical test we have used this integral representation, in conjunction with a two-particle convolution of one-particle Coulomb Green functions, to calculate the cross sections for both partial and complete breakup of the negative hydrogen ion by one-photon absorption.

• OSTI ID: 20646364
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 4 Vol. 70; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
ABSORPTION
ANIONS
CROSS SECTIONS
GREEN FUNCTION
HYDROGEN IONS
INTEGRAL EQUATIONS
PHOTON-ATOM COLLISIONS
PHOTONS