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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.

Electron-molecule scattering -- Statistical methods. --- R-matrices. --- Scattering (Physics) -- Statistical methods. --- Physics --- Physical Sciences & Mathematics --- Atomic Physics --- Electricity & Magnetism --- Collisions (Nuclear physics) --- Scattering (Physics) --- Atomic scattering --- Atoms --- Nuclear scattering --- Particles (Nuclear physics) --- Scattering of particles --- Wave scattering --- Bombardment with particles --- Electron collisions --- Impact phenomena (Nuclear physics) --- Nuclear collisions --- Particle collisions (Nuclear physics) --- R-matrix theory --- Scattering --- Collisions --- Physics. --- Atoms. --- Matter. --- Plasma (Ionized gases). --- Atomic, Molecular, Optical and Plasma Physics. --- Mathematical Methods in Physics. --- Atoms and Molecules in Strong Fields, Laser Matter Interaction. --- Plasma Physics. --- Gaseous discharge --- Gaseous plasma --- Magnetoplasma --- Ionized gases --- Dynamics --- Gravitation --- Substance (Philosophy) --- Chemistry, Physical and theoretical --- Matter --- Stereochemistry --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Constitution --- Particles --- Collisions (Physics) --- Matrices --- Mathematical physics. --- Physical mathematics --- Mathematics --- R (Computer program language). --- GNU-S (Computer program language) --- Domain-specific programming languages