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Time-dependent spectroscopic techniques continue to push the frontier of chemical physics, but they receive scant mention in introductory courses and are poorly covered in standard texts. This text bridges the gap between what is traditionally taught in a one-semester quantum chemistry course and the modern field of chemical dynamics, presenting the quantum theory of charge and energy transport in biological systems and optical-electronic materials from a dynamic perspective. Written for graduate level courses in quantum mechanics in physics and chemistry departments and will be of interest to researchers and electrical engineers interested in optical-electronic materials.