Path Integrals in Physics: Volume I Stochastic Processes and Quantum Mechanics, 1st Edition (Paperback) book cover

Path Integrals in Physics

Volume I Stochastic Processes and Quantum Mechanics, 1st Edition

By M Chaichian, A Demichev

CRC Press

336 pages

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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.


"In contrast to many other existing books on functional integral methods, this monograph introduces the path integral in an inductive way by studying the Brownian motion of a particle in a solvent. Indeed the Brownian motion is probably the best example of how to understand and acquire the concept of the path integral in the most natural way … The book will definitely be very helpful for teachers of the subject as a source of ideas on how to present concepts of functional integrals with their applications to their students … the monography can serve as a manual for almost an encyclopedia collection of information from both the physical subject and the bibliography in this field."

-Milan Noga

"The reader whose interest ranges across quantum, statistical, and stochastic field theories and their application to particle physics and condensed matter physics will find much to enjoy here. The applications are diverse, from the physics of macromolecules to Bose-Einstein condensation to quantization on non-commutative spaces. The explanations are clear, the details present without being overwhelming, and the equations support the text well, without being the impenetrable hedge that detail sometimes provokes … I found reading these books a comfortable and, on occasion, a familiar, experience."

-R. Rivers, University of London, UK

Table of Contents

Path Integrals in Classical Theory

Brownian motion: Introduction to the concept of path integration

Wiener path integrals and stochastic processes

Path Integrals in Quantum Mechanics

Feynman path integrals

Path integrals in Hamiltonian formalism

Quantizations, the operator ordering problem and path integrals

Path integrals and quantizations in spaces with topologiecal constraints Path integrals in curved spaces, space time transformations and the Coulomb problem

Path integrals over anticommuting variables for fermions and generalizations




About the Authors

Chaichian, M; Demichev, A

Subject Categories

BISAC Subject Codes/Headings:
SCIENCE / Mathematical Physics
SCIENCE / Physics
SCIENCE / Quantum Theory