Abstract
The theory of atom-molecule collisions has just seen a decade of dramatic advances. Probably the single factor which has stimulated the development and testing of a variety of new, accurate approximations was the development, in the 1960’s, by Johnson and Secrest,(1–3) Gordon,(4) Sams and Kouri,(5–9) and Chang and Light (10) of extremely efficient numerical methods for solving large sets of coupled differential or integral equations. These methods were used to provide accurate close-coupling (CC) cross sections for some atom-diatom inelastic collision problems. These results in turn have provided reliable standards against which approximations could be tested and compared. Because the same potential surfaces could be used for both the (exact) CC and approximate calculations, differences in the results provided a quantitative measure of the accuracy of the approximation. By contrast, earlier attempts to compare approximate results directly with experiment had always to contend with inaccuracies in the approximation and in the potential surface (not to mention experimental uncertainties). The present status of available numerical methods is discussed by Secrest in Chapter 8 of this volume.
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© 1979 Plenum Press, New York
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Kouri, D.J. (1979). Inelastic Scattering Cross Sections II: Approximation Methods. In: Bernstein, R.B. (eds) Atom - Molecule Collision Theory. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-2913-8_7
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DOI: https://doi.org/10.1007/978-1-4613-2913-8_7
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