Quantum dynamics is concerned with the exchange of energy and momentum, and the motions of systems whose behavior is governed by the laws of quantum mechanics. It is the quantum version of classical dynamics. Quantum dynamics is integral to the rapidly growing fields of quantum computing and atomic optics. In the field of mathematics, quantum dynamics is the study of the mathematics behind quantum mechanics. As a study of dynamics, this field explicitly investigates how quantum mechanical observables change over time. It also involves the study of one-parameter automorphisms of algebra of all bounded operators on the Hilbert space of observables. This book is compiled in such a manner, that it will provide in-depth knowledge about the theory and practice of quantum dynamics. From theories to research to practical applications, case studies related to all contemporary topics of relevance to this field have been included herein. As this field is emerging at a rapid pace, the contents of this book will help the readers understand the modern concepts and applications of the subject.