Abstract
We have presented recent applications of two different representations of the Coulomb Green's function in the field of atomic physics. The so-called sturmian expansion of the CGF has been used for computing two-and three-photon “above threshold” ionization cross sections, processes in the course of which the photoelectrons experience (virtual) free-free transitions. Our computation has permitted to discard a recent hypothesis which had been formulated in order to interpret recent experimental results. We have presented also a progress report on the calculation of two-photon transitions amplitudes in the continuous spectrum of a Coulomb field. Our calculation, performed within the framework of a perturbative theory, relies on the use of the Schwinger representation of the CGF. Our “exact” results will permit to assess the respective ranges of validity of both the perturbative and non-perturbative approaches. These two examples clearly illustrate the usefulness of the compact representation of the CGF presented here,for performing perturbative computations in a Coulomb field.
Laboratoire “Matière et Rayonnement”, Associé au CNRS.
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Maquet, A. (1984). One-and two-photon free-free transitions in a coulomb field. In: Albeverio, S., Ferreira, L.S., Streit, L. (eds) Resonances — Models and Phenomena. Lecture Notes in Physics, vol 211. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-13880-3_77
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DOI: https://doi.org/10.1007/3-540-13880-3_77
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