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The Schwinger Variational Method

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Computational Methods for Electron—Molecule Collisions

Abstract

Variational methods have proven to be invaluable tools in theoretical physics and chemistry, both for bound state problems and for the study of collision phenomena. For collisional problems variational methods can be grouped into two types, those based on the Schrödinger equation and those based on the Lippmann-Schwinger equation. The Hulthén-Kohn1–3 method belongs to the first type, and their modern development for electron-molecule scattering, incorporating complex boundary conditions, is reported in chapter 1 of this book by Rescigno et al.4 An offshoot of the Hulthén-Kohn variational method is the variational R-matrix method.5, 6 In chapter 8 of this book Schneider7 presents a general discussion of the R-matrix method, including the variational R-matrix.

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Authors and Affiliations

  1. NASA Ames Research Center, Moffett Field, CA, 94035, USA

    Winifred M. Huo

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  1. Winifred M. Huo
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Editors and Affiliations

  1. NASA Ames Research Center, Moffet Field, California, USA

    Winifred M. Huo

  2. University of Rome, City of Rome, Rome, Italy

    Franco A. Gianturco

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Huo, W.M. (1995). The Schwinger Variational Method. In: Huo, W.M., Gianturco, F.A. (eds) Computational Methods for Electron—Molecule Collisions. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-9797-8_15

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  • DOI: https://doi.org/10.1007/978-1-4757-9797-8_15

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4757-9799-2

  • Online ISBN: 978-1-4757-9797-8

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