Path Integrals in Physics: Stochastic Process & Quantum Mechanics Volume-2

Synopsis This book deals with systems possessing a infinite number of degrees in freedom. In this case the mathematics behind is well understood. The authors present it in a form accessible to a broad community of theoretical physicists. Various applications, including systems with Grassmann variables, are described in detail. Path Integrals in Physics: Volume I, Stochastic Processes and Quantum Mechanics presents the fundamentals of path integrals, both the Wiener and Feynman type, and their many applications in physics. Accessible to a broad community of theoretical physicists, the book deals with systems possessing a infinite number of degrees in freedom. It discusses the general physical background and concepts of the path integral approach used, followed by a detailed presentation of the most typical and important applications as well as problems with either their solutions or hints how to solve them. It describes in detail various applications, including systems with Grassmann variables. Each chapter is self-contained and can be considered as an independent textbook. The book provides a comprehensive, detailed, and systematic account of the subject suitable for both students and experienced researchers. The aim of this book is to present and explain the concept of the path integral which is intensively used nowadays in almost all the branches of theoretical physics. v.1. Stochastic processes and quantum mechanics v.2. Quantum field theory, statistical physics and other modern applications.