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Graduate students seeking to become familiar with advanced computational strategies in classical and quantum dynamics will find in this book both the fundamentals of a standard course and a detailed treatment of the time-dependent oscillator, Chern-Simons mechanics, the Maslov anomaly and the Berry phase, to name just a few topics. Well-chosen and detailed examples illustrate perturbation theory, canonical transformations and the action princi...

Graduate students seeking to become familiar with advanced computational strategies in classical and quantum dynamics will find in this book both the fundamentals of a standard course and a detailed treatment of the time-dependent oscillator, Chern-Simons mechanics, the Maslov anomaly and the Berry phase, to name just a few topics. Well-chosen and detailed examples illustrate perturbation theory, canonical transformations and the action princi...

Graduate students who wish to become familiar with advanced computational strategies in classical and quantum dynamics will find in this book both the fundamentals of a standard course and a detailed treatment of the time-dependent oscillator, Chern-Simons mechanics, the Maslov anomaly and the Berry phase, to name just a few topics. Well-chosen and detailed examples illustrate perturbation theory, canonical transformations and the action princ...

Classical Yang-mills theory.- Path integral quantization of gauge theories.- Background field methods.- Instantons and ?-Vacua.- Schwinger model (QED)2.- Chiral anomaly in (QCD)2.- Fujikawa's path integral method.- Chiral anomaly in the Schwinger-Symanzik formalism.- Anomalous ward identities ¿a Wess-Zumino.- Topological aspects of the Wess-Zumino effective action.- Topological baryon number and the Skyrme model.- The Atiyah-Singer index theor...