Walter Dittrich & Martin Reuter 
Classical and Quantum Dynamics [EPUB ebook] 
From Classical Paths to Path Integrals

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 principle, and demonstrate the usage of path integrals. The sixth edition has been enlarged to include the Heisenberg-Euler Lagrangian, Schwinger s source theory treatment of the low-energy p-?-N physics and general relativity, where Riemann s (Einstein s) ideas on space and time and their philosophical implications are discussed.