This text provides an introduction to both the concepts and present status of time-dependent quantum mechanics for few-body systems with electromagnetic interactions. It presents and describes experimental results on applications in quantum dynamics, focusing on applications in atomic, chemical, optical, and condensed matter physics, and bridges the gap between quantum mechanics of stationary quantum systems, and a number of advanced theoretical treatises on various aspects of quantum dynamics. Its focus is on strongly-quantum and semiclassical systems, including the quantum manifestations of orderly and chaotic nonlinear classical dynamics. Up-to-date examples of concrete quantum dynamics problems encountered in physics, chemistry, and device engineering are included, and computational aspects are presented in two appendices.
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