Titlebook: R-Matrix Theory of Atomic Collisions; Application to Atomi Philip George Burke Book 2011 Springer-Verlag Berlin Heidelberg 2011 Atomic coll

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Collisions with Moleculesy of exciting degrees of freedom associated with the motion of the nuclei in the molecule. In this chapter we consider developments of both collision theory and .-matrix theory which enable these additional aspects of collision processes to be accurately treated.

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Multichannel Collision Theoryly concerned in this chapter with low-energy elastic scattering and excitation processes. However, we will show in Chap. 6 that the theory and methods developed in this chapter are the basis of .-matrix methods which enable accurate excitation and ionization processes to be calculated at intermediate energies.

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Electron Interactions in Solidsin reasonable agreement with electron spin-flip measurements of Müller et al. [670] and with spin-averaged differential cross section measurements by Gorschlüter and Merz [406]. We also note that work has been initiated by Higgins et al. [469, 186] extending .-matrix theory to describe low-energy electron collisions with surface adsorbates.

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Potential Scatteringht, this chapter also provides a basis for our treatment of electron and positron collisions with atoms, ions and molecules in later chapters in this monograph. We commence in Sect. 1.1 by considering the solution of the non-relativistic time-independent Schrödinger equation for a short-range spheri

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Multichannel Collision Theoryc electron collisions with multi-electron atoms and atomic ions. This chapter thus provides an introduction to our discussion of resonances and threshold behaviour presented in Chap. 3 and to .-matrix theory and applications, presented in Chap. 4 and later chapters in this monograph. We will be main