Summation rules for Coulomb wavefunction products

Cherkani, MH.;Brouillard, F.;Chibisov, M
(2001) Journal of Physics B: Atomic, Molecular and Optical Physics — Vol. 34, n° 1, p. 49-58 (2001)

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  • Cherkani, MH.
    Author
  • Brouillard, F.
    Author
  • Chibisov, M
    Author
Abstract
Sums of products of the Coulomb wavefunctions over degenerate manifolds have been obtained in a closed form. These sums appear in many atomic and molecular problems, The sums have been obtained making use of the properties of the Coulomb Green function G ((r) over right arrow, (r) over right arrow', E) in the limit E --> E-n where E-n is the eigenenergy of the hydrogen-like atomic ion. This paper develops the method described in our previous paper.
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Cherkani, MH., Brouillard, F., & Chibisov, M. (2001). Summation rules for Coulomb wavefunction products. Journal of Physics B: Atomic, Molecular and Optical Physics, 34(1), 49-58. https://doi.org/10.1088/0953-4075/34/1/304 (Original work published 2001)