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Abstract : |
The matrix representation of the reference Hamiltonian, H-0, which may be either the free kinetic energy operator or the Coulomb Hamiltonian, is tridiagonal in the complete Laguerre or oscillator bases of L-2(0, infinity). In either of these two bases, we explicitly find a dosed-form solution to the matrix elements of the multichannel Green's function associated with the model Hamiltonian H = H-0 + (V) over tilde. Here the model potential, (V) over tilde(alpha beta), is constructed from the given short range multichannel potential, V-alpha beta, by restricting it to the subspace spanned by the first N-alpha member of the alpha th channel basis and the first N-beta member of the beta th channel basis. Subsequently, we solve the multichannel Lippman-Schwinger equation and find explicit forms for both the T- and S-matrices., |
