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Simple method for obtaining exact nonrelativistic formulas for two-photon (n, l, m) continuum dipole transitions for hydrogenic atoms

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Abstract

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 F1 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.

© 1986 Optical Society of America

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