Partial-wave Green-function expansions for general potentials
Journal Article
·
· Physical Review. A
- European Synchrotron Radiation Facility, Boite Postale 220, F-38043 Grenoble Cedex (France)
We present a derivation of the partial-wave expansions of the exact, time-independent, single-particle Green function for an arbitrary potential taken from a wide class typical of atomic and molecular systems, whose expansion in spherical harmonics about some point is given. The Green-function expansions are expressed in terms of matrix solutions, one regular at the origin and one at infinity, of the coupled radial Schroedinger equations related to that potential, and a constant, Wronskian-type matrix constructed from them. Expansions are developed for both positive energies, relevant to scattering states, and negative energies, where we elucidate the mathematical condition for bound state000.
- OSTI ID:
- 20645896
- Journal Information:
- Physical Review. A, Journal Name: Physical Review. A Journal Issue: 2 Vol. 70; ISSN 1050-2947; ISSN PLRAAN
- Country of Publication:
- United States
- Language:
- English
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