Part I – Collision Theory -- Potential Scattering -- Multichannel Collision Theory -- Resonances and Threshold Behaviour -- Part II – R-matrix Theory and Applications -- Introduction to R-matrix Theorie: Potential Scattering -- Electron Collisions with Atoms and Ions -- Intermediate Energy Collision -- Positron Collisions with Atoms and Ions -- Photoionization, Photorecombination and Atoms in Fields -- Multiphoton Processes: Floquet Theory -- Multiphoton Processes: Time-Dependent Theory -- Collisions with Molecules -- Electron Interactions in Solids.

Commencing with a self-contained overview of atomic collision theory, this monograph presents recent developments of R-matrix theory and its applications to a wide-range of atomic molecular and optical processes. These developments include electron and photon collisions with atoms, ions and molecules required in the analysis of laboratory and astrophysical plasmas, multiphoton processes required in the analysis of superintense laser interactions with atoms and molecules and positron collisions with atoms and molecules required in antimatter studies of scientific and technologial importance. Basic mathematical results and general and widely used R-matrix computer programs are summarized in the appendices.