Path Integrals in Physics: Volume I & II (2 volume set) - Hardcover

Chaichian, M; Demichev, A

Hardcover

ISBN 10: 0750307137 ISBN 13: 9780750307130

Publisher: CRC Press, 2001

Synopsis

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 path integral approach has proved extremely useful for the understanding of the most complex problems in quantum field theory, cosmology, and condensed matter physics. Path Integrals in Physics: Volume II, Quantum Field Theory, Statistical Physics and other Modern Applications covers the fundamentals of path integrals, both the Wiener and Feynman types, and their many applications in physics. The book deals with systems that have an infinite number of degrees of 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. Each chapter is self-contained and can be considered as an independent textbook. It provides a comprehensive, detailed, and systematic account of the subject suitable for both students and experienced researchers.

About this title

Review

"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 how to understand and acquire the concept of the path integral in the most natural way. . . The book will be definitely very helpful for teachers of ths subject as a source of ideas how to present concepts of functional integrals with their applications to their students . . .the monography can serve as a manual for almost an encyclopedical collection of informations 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 is 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 confortable and, on occasion, a familiar, experience." R Rivers, University of London trast 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 how to understand and acquire the concept of the path integral in the most natural way. . . The book will be definitely veryhelpful for teachers of ths subject as a source of ideas how to present concepts of functional integrals with their applications to their students . . .the monography can serve as a manual for almost an encyclopedical collection of informations 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 is 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 confortable and, on occasion, a familiar, experience." R Rivers, University of London

Synopsis

This book expounds the fundamentals of path integrals, of both the Wiener and Feynman type, and their many applications in physics. It is based on many courses given by the authors for students and researchers in physics and mathematics.

Edition details

• Publisher: CRC Press
• Publication date: 2001
• ISBN 10: 0750307137
• ISBN 13: 9780750307130
• Binding: Hardcover
• Language: English
• Edition number: 1
• Number of pages: 420