Path Integrals for Pedestrians

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.

Contents:

• 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
• Appendixes

Readership: Student and professional in quantum and classical mechanics.
Key Features:

• Pedagogical introduction to path-integral and its semiclassical limit
• Path integral for Wigner functions
• Path integral for classical mechanics