The Kramers-Heisenberg matrix element for two-photon transitions between a bound (n, l, m) state and a continuum is obtained in terms of the Coulomb Green's function matrix element for the ground-state ? continuum transition. The number of the F(1) Appell functions involved is minimized. The analytical results for the ns ? continuum transitions are given, and both the resonant behavior and the transparency region of the two-photon cross section are predicted.
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Costescu et al. (1986) studied this question.
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