Interrelation between variational principles for scattering amplitudes and generalized R-matrix theory
CW McCurdy, TN Rescigno, BI Schneider - Physical Review A, 1987 - APS
CW McCurdy, TN Rescigno, BI Schneider
Physical Review A, 1987•APSWe establish a connection between the Kohn variational principle, with (complex) outgoing-
wave boundary conditions, and the Kapur-Peierls form of the R-matrix theory. We show that
the complex Kohn method, unlike the usual Kohn method, does not suffer from the problem
of spurious singularities. We also discuss a generalization that allows the calculation of
scattering cross sections over a continuous range of energies from a single diagonalization
of the Hamiltonian. Several numerical examples are presented.
wave boundary conditions, and the Kapur-Peierls form of the R-matrix theory. We show that
the complex Kohn method, unlike the usual Kohn method, does not suffer from the problem
of spurious singularities. We also discuss a generalization that allows the calculation of
scattering cross sections over a continuous range of energies from a single diagonalization
of the Hamiltonian. Several numerical examples are presented.
Abstract
We establish a connection between the Kohn variational principle, with (complex) outgoing-wave boundary conditions, and the Kapur-Peierls form of the R-matrix theory. We show that the complex Kohn method, unlike the usual Kohn method, does not suffer from the problem of spurious singularities. We also discuss a generalization that allows the calculation of scattering cross sections over a continuous range of energies from a single diagonalization of the Hamiltonian. Several numerical examples are presented.
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