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Analytic Continuation: Continuum Distorted Waves

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Electron Scattering

Part of the book series: Physics of Atoms and Molecules ((PAMO))

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Abstract

The continuum distorted-wave eikonal initial-state (CDW-EIS) approximation is reviewed and two-centre effects such as the saddle-point mechanism discussed. The continuum distorted-wave theory is then generalized such that the azimuthal angle dependence is factored into the final state. This is achieved by the analytic continuation of hydrogenic-state wave functions from below to above threshold, using parabolic coordinates and magnetic quantum numbers, thus providing a more complete set of states. Double differential cross sections are considered for the single ionization of a H atom and molecule, ejected in the forward direction at a collision impact energy of 40 keV and 100 keV respectively.

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© 2005 Kluwer Academic/Plenum Publishers, New York

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McSherry, D., Crothers, D., O’Rourke, S. (2005). Analytic Continuation: Continuum Distorted Waves. In: Whelan, C.T., Mason, N.J. (eds) Electron Scattering. Physics of Atoms and Molecules. Springer, Boston, MA. https://doi.org/10.1007/0-387-27567-3_18

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