@article {Yamani:1997:0953-4075:1633, author = "Yamani H.A.", author = "Abdelmonem M.S.", title = "Multi-channel Green's functions in complete bases", journal = "Journal of Physics B: Atomic, Molecular and Optical Physics", volume = "30", year = "1997", abstract = "
The matrix representation of the reference Hamiltonian, , which may be either the free kinetic energy operator or the Coulomb Hamiltonian, is tridiagonal in the complete Laguerre or oscillator bases of . In either of these two bases, we explicitly find a closed-form solution to the matrix elements of the multichannel Green's function associated with the model Hamiltonian . Here the model potential, , is constructed from the given short range multichannel potential, , by restricting it to the subspace spanned by the first member of the th channel basis and the first member of the th channel basis. Subsequently, we solve the multichannel Lippman - Schwinger equation and find explicit forms for both the T- and S-matrices.
", pages = "1633-1650(18)", url = "http://www.ingentaconnect.com/content/iop/jphysb/1997/00000030/00000007/art00005" }