If a heavy particle ion (atom, molecule, muon) collides with
another in the gas phase at speeds approaching the speed of light,
the time-dependent Dirac equation equation must be used for its
description, including quantum electro-dynamic, special relativity
and magnetic coupling effects. In this book we study one electron
in the variety of rearrangement collisions: radiative and
non-radiative capture, ionization, capture by pair (one electron,
one positron) production and antihydrogen production. Our
relativistic continuum distorted-wave theory accounts extremely
well for the simultaneous behaviour of the electron with respect to
the nuclear charges of the projectile and the target. This is the
first book developed in this subject. Containing many diagrams and
tables, and fully referenced, it goes beyond chapters in previous
books. The relativistic continuum distorted-wave theory developed
by the authors group, is shown to be fully Hermitean. Detailed
mathematics are provided in nine appendices.
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