Coulomb-Sturmian matrix elements of the Coulomb Green's operator
Journal Article
·
· Physical Review. A
- Department of Physics and Astronomy, California State University, Long Beach, California 90840 (United States)
The two-body Coulomb Hamiltonian, when calculated in Coulomb-Sturmian basis, has an infinite symmetric tridiagonal--i.e., Jacobi-matrix form. This Jacobi-matrix structure involves a continued-fraction representation for the inverse of the Green's matrix. The continued fraction can be transformed to a ratio of two {sub 2}F{sub 1} hypergeometric functions. From this result we find an exact analytic formula for the matrix elements of the Green's operator of the Coulomb Hamiltonian.
- OSTI ID:
- 20852985
- Journal Information:
- Physical Review. A, Journal Name: Physical Review. A Journal Issue: 1 Vol. 74; ISSN 1050-2947; ISSN PLRAAN
- Country of Publication:
- United States
- Language:
- English
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