This set of tutorial reviews is dedicated to all aspects of irreversibility and time asymmetry in quantum mechanics. The main themes addressed are:- theoretical aspects of quantum irreversible dynamics- open quantum systems and applications- foundational aspects of irreversible quantum dynamics- asymmetric time evolution and resonances This volume will benefit graduate students and researchers looking for a readable account of the current status of the field. It is also suited for lecturers looking for advanced material for their courses and seminars.

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