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Path Integrals in Physics: Volume II Quantum Field Theory, Statistical Physics and other Modern Applications

Autor M. Chaichian, A Demichev
en Limba Engleză Hardback – iul 2001
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.
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Specificații

ISBN-13: 9780750308021
ISBN-10: 0750308028
Pagini: 356
Dimensiuni: 189 x 246 x 24 mm
Greutate: 0.93 kg
Ediția:1
Editura: CRC Press
Colecția CRC Press

Public țintă

Undergraduate

Cuprins

Volume II: 3. Quantum Field Theory: the Path Integral Approach. Path integral formulation of the simplest quantum field theories. Path integral quantization of gauge field theories. Non-perturbative methods for the analysis of quantum field models in the path integral approach. Path integrals in the theory of gravitation, cosmology and string theory: advanced applications of path integrals. 4. Path Integrals in Statistical Physics. Basic concept of statistical physics. Field theory at non-zero temperature. Superfluidity, superconductivity, non-equilibrium statistical physics in the path integral formalism and stochastic quantization. Path integrals formalism and lattice systems. Supplements. Bibliography. Index

Descriere

This book covers the fundamentals of path integrals, both the Wiener and Feynman types, and their many applications in physics. It deals with systems that have an infinite number of degrees of freedom. The book discusses the general physical background and concepts of the path integral approach used, followed by 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.

Recenzii

"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