Textbook in PDF format A unique introduction to the concepts of quantum mechanics, Quantum Evolution addresses the present status of time-dependent quantum mechanics for few-body systems with electromagnetic interactions. It bridges between the quantum mechanics of stationary quantum systems and a number of recent advanced theoretical treatises on various aspects of quantum mechanics. The focus is on strongly-quantum and semi-classical systems, including the quantum manifestations of orderly and chaotic nonlinear classical dynamics. A very enjoyable technical survey of a few time-dependent problems of quantum mechanics. The mathematical developments are kept at a minimum but deep familiarity with the technical domain is assumed. Close attention is paid to how the results of calculations can be verified by experimental results. The author discusses the classical problems and then proceeds to their quantum analogues. The author also outlines useful approaches to the numerical solutions of these problems. Basic Concepts Quantum Collapse and Revivals Further Topics in Classical Theory Classically Integrable Quantum Systems Introductory Aspects of Nonintegrable Quantum Systems Quantum Tunneling Irregular Quantum Systems Sinusoidally Driven Systems Externally Induced Transport Appendicies Bibliography Index