This set of tutorial reviews is dedicated to all aspects of irreversibility and time asymmetry in quantum mechanics. The main themes addressed are:</P>

- theoretical aspects of quantum irreversible dynamics</P>

- open quantum systems and applications</P>

- foundational aspects of irreversible quantum dynamics</P>

- asymmetric time evolution and resonances</P>

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.</P>