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• W2030895055 endingPage "2009" @default.
• W2030895055 startingPage "1998" @default.
• W2030895055 abstract "A finite-basis method [B. R. Johnson and W. P. Reinhardt, Phys. Rev. A 28, 1930 (1983)] recently introduced for calculating bound-free transition amplitudes is extended here to apply to the Coulomb potential. This method is based upon the use of complex-coordinate techniques to calculate matrix elements of the time-independent wave operators of formal scattering theory, and avoids explicit enforcement of coordinate-space boundary conditions. Numerical experiments aiming at the calculation of the known hydrogenic ground-state photoionization amplitude have been made with use of different known forms of the two-body Coulomb wave operator. We have successfully reproduced the hydrogenic photoionization amplitude, but only within an accuracy and precision of about 1%. The most plausible explanation for these numerical difficulties is associated with the singular behavior of the ``iensuremath{varepsilon}'' limit in Coulomb scattering theory. In shorter-range problems, this limit is conveniently implemented by complex-coordinate techniques or complex-coordinate techniques in conjunction with Pad'e extrapolation. However, neither of these methods effectively implements the ensuremath{varepsilon}ensuremath{rightarrow}0 limit in the Coulomb case." @default.
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• W2030895055 date "1985-10-01" @default.
• W2030895055 modified "2023-09-27" @default.
• W2030895055 title "Extension of time-independent wave-operator methods to the calculation of the two-body Coulomb photoionization amplitude" @default.
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• W2030895055 doi "https://doi.org/10.1103/physreva.32.1998" @default.
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• W2030895055 hasPublicationYear "1985" @default.
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