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Asymptotic Expansions

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Book cover R-Matrix Theory of Atomic Collisions

Part of the book series: Springer Series on Atomic, Optical, and Plasma Physics ((SSAOPP,volume 61))

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Abstract

In this appendix we describe asymptotic expansion methods which have been developed and applied in the study of electron, positron and multiphoton collision processes. We consider first asymptotic expansion solutions of the coupled second-order differential equations which arise in the study of electron and positron collisions with atoms, ions and molecules. We then consider asymptotic expansion solutions of the coupled second-order differential equations which arise in R-matrix–Floquet theory of multiphoton ionization and laser-assisted electron–atom and electron–ion collisions when the velocity gauge is adopted in the asymptotic region.

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Correspondence to Philip G. Burke .

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© 2011 Springer-Verlag Berlin Heidelberg

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Burke, P.G. (2011). Asymptotic Expansions. In: R-Matrix Theory of Atomic Collisions. Springer Series on Atomic, Optical, and Plasma Physics, vol 61. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15931-2_18

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  • DOI: https://doi.org/10.1007/978-3-642-15931-2_18

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-15930-5

  • Online ISBN: 978-3-642-15931-2

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