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- W1754542036 abstract "We present an alternative, but equivalent, approach to the regularization of the reference problem in the J-matrix method of scattering. After identifying the regular solution of the reference wave equation with the “sine-like” solution in the J-matrix approach we proceed by direct integration to find the expansion coefficients in an L2 basis set that ensures a tridiagonal representation of the reference Hamiltonian. A differential equation in the energy is then deduced for these coefficients. The second independent solution of this equation, called the “cosine-like” solution, is derived by requiring it to pertain to the L2 space. These requirements lead to solutions that are exactly identical to those obtained in the classical J-matrix approach. We find the present approach to be more direct and transparent than the classical differential approach of the J-matrix method." @default.
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- W1754542036 date "2007-05-01" @default.
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- W1754542036 title "Regularization in the J-matrix method of scattering revisited" @default.
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- W1754542036 doi "https://doi.org/10.1016/j.physleta.2006.12.027" @default.
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