This book aims to provide a quick pedagogical introduction to path integrals. It contains original material that never before has appeared in a book, for example the path integrals for the Wigner functions and for Classical Mechanics. This application to Classical Mechanics connects different fields like Hamiltonian mechanics and differential geometry, so the book is suitable for students and researchers from various disciplines.
The Basic Ideas
The Path Integral for Quantum Mechanics
Introduction to the Semiclassical Approximation
Wigner Functions and its associated Path Integral
Classical Mechanics and its associated Path Integral