NDLI: Theory of electron-impact ionization of atoms

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Theory of electron-impact ionization of atoms

Content Provider	Semantic Scholar
Author	Kadyrov, A. S. Mukhamedzhanov, A. M. Stelbovics, Andris T. Bray, I.
Copyright Year	2004
Abstract	The existing formulations of electron-impact ionization of a hydrogenic target suffer from a number of formal problems including an ambiguous and phase-divergent definition of the ionization amplitude. An alternative formulation of the theory is given. An integral representation for the ionization amplitude which is free of ambiguity and divergence problems is derived and is shown to have four alternative, but equivalent, forms well suited for practical calculations. The extension to amplitudes of all possible scattering processes taking place in an arbitrary three-body system follows. A well-defined conventional post form of the breakup amplitude valid for arbitrary potentials including the long-range Coulomb interaction is given. Practical approaches are based on partial-wave expansions, so the formulation is also recast in terms of partial waves and partialwave expansions of the asymptotic wave functions are presented. In particular, expansions of the asymptotic forms of the total scattering wave function, developed from both the initial and the final state, for electronimpact ionization of hydrogen are given. Finally, the utility of the present formulation is demonstrated on some well-known model problems.
File Format	PDF HTM / HTML
Alternate Webpage(s)	http://researchrepository.murdoch.edu.au/id/eprint/13288/1/Theory_of_Electron_Impact_Ionization_2006.pdf
Alternate Webpage(s)	http://researchrepository.murdoch.edu.au/id/eprint/8699/1/theory_of_electron-impact_ionization_of_atoms.pdf
Language	English
Access Restriction	Open
Subject Keyword	Above threshold ionization Amiga Enhanced Chip Set Approximation Biological system CNS disorder Cross section (geometry) Electroconvulsive Therapy Electron Helium Hydrogen Hydrogen-like atom Impact ionization Nuclear Physics Photoelectrochemical process Radial (radio) Schrödinger Semantics (computer science) Vergence body system
Content Type	Text
Resource Type	Article

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