Multi-channel Green's functions in complete bases

Authors: Yamani H.A.1; Abdelmonem M.S.2

Source: Journal of Physics B: Atomic, Molecular and Optical Physics, Volume 30, Number 7, 1997 , pp. 1633-1650(18)

Publisher: Institute of Physics Publishing

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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.

Language: English

Document Type: Miscellaneous

Affiliations: 1: Ministry of Industry and Electricity, PO Box 5729, Riyadh 11127, Saudi Arabia 2: Energy Resources Division, Research Institute, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia

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