Path Integral Quantization

Path Integral Quantization
Author :
Publisher :
Total Pages : 242
Release :
ISBN-10 : 0750335483
ISBN-13 : 9780750335485
Rating : 4/5 (83 Downloads)

Synopsis Path Integral Quantization by : Mark S Swanson

This book is a self-contained and concise introduction to the techniques and applications of path integral quantization and functional techniques, aimed at students and practitioners. The first half of the text focuses on quantum mechanics, including a review of the action formulation of classical mechanics and quantum mechanics in the Dirac operator and state formalism, and further examination of the path integral. The second part examines relativistic field theories, reviewing special relativity, as well as derivation of the path integral representation of the vacuum transition element for quantized scalar, spinor, and vector fields from the coherent state representation of the respective field theories. Key Features Concise introduction to the derivation and methods of path integral approaches to quantum mechanics and quantum field theory. Self-contained guide for students and practitioners

Path Integrals and Quantum Processes

Path Integrals and Quantum Processes
Author :
Publisher : Courier Corporation
Total Pages : 463
Release :
ISBN-10 : 9780486782300
ISBN-13 : 0486782301
Rating : 4/5 (00 Downloads)

Synopsis Path Integrals and Quantum Processes by : Mark S. Swanson

Graduate-level, systematic presentation of path integral approach to calculating transition elements, partition functions, and source functionals. Covers Grassmann variables, field and gauge field theory, perturbation theory, and nonperturbative results. 1992 edition.

Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets

Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets
Author :
Publisher : World Scientific
Total Pages : 1626
Release :
ISBN-10 : 9789814273572
ISBN-13 : 9814273570
Rating : 4/5 (72 Downloads)

Synopsis Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets by : Hagen Kleinert

Topological restrictions. These are relevant to the understanding of the statistical properties of elementary particles and the entanglement phenomena in polymer physics and biophysics. The Chern-Simons theory of particles with fractional statistics (anyons) is introduced and applied to explain the fractional quantum Hall effect." "The relevance of path integrals to financial markets is discussed, and improvements of the famous Black-Scholes formula for option prices are developed which account for the fact that large market fluctuations occur much more frequently than in Gaussian distributions." --Book Jacket.

Path Integral Approach to Quantum Physics

Path Integral Approach to Quantum Physics
Author :
Publisher : Springer Science & Business Media
Total Pages : 400
Release :
ISBN-10 : 9783642578861
ISBN-13 : 3642578861
Rating : 4/5 (61 Downloads)

Synopsis Path Integral Approach to Quantum Physics by : Gert Roepstorff

Specifically designed to introduce graduate students to the functional integration method in contemporary physics as painlessly as possible, the book concentrates on the conceptual problems inherent in the path integral formalism. Throughout, the striking interplay between stochastic processes, statistical physics and quantum mechanics comes to the fore, and all the methods of fundamental interest are generously illustrated by important physical examples.

Quantum Gravitation

Quantum Gravitation
Author :
Publisher : Springer Science & Business Media
Total Pages : 342
Release :
ISBN-10 : 9783540852933
ISBN-13 : 354085293X
Rating : 4/5 (33 Downloads)

Synopsis Quantum Gravitation by : Herbert W. Hamber

"Quantum Gravitation" approaches the subject from the point of view of Feynman path integrals, which provide a manifestly covariant approach in which fundamental quantum aspects of the theory such as radiative corrections and the renormalization group can be systematically and consistently addressed. It is shown that the path integral method is suitable for both perturbative as well as non-perturbative studies, and is already known to offer a framework for the theoretical investigation of non-Abelian gauge theories, the basis for three of the four known fundamental forces in nature. The book thus provides a coherent outline of the present status of the theory gravity based on Feynman’s formulation, with an emphasis on quantitative results. Topics are organized in such a way that the correspondence to similar methods and results in modern gauge theories becomes apparent. Covariant perturbation theory are developed using the full machinery of Feynman rules, gauge fixing, background methods and ghosts. The renormalization group for gravity and the existence of non-trivial ultraviolet fixed points are investigated, stressing a close correspondence with well understood statistical field theory models. The final chapter addresses contemporary issues in quantum cosmology such as scale dependent gravitational constants and quantum effects in the early universe.

Path Integrals in Physics

Path Integrals in Physics
Author :
Publisher : CRC Press
Total Pages : 336
Release :
ISBN-10 : 0367397145
ISBN-13 : 9780367397142
Rating : 4/5 (45 Downloads)

Synopsis Path Integrals in Physics by : M Chaichian

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.

Path Integrals in Physics

Path Integrals in Physics
Author :
Publisher : CRC Press
Total Pages : 368
Release :
ISBN-10 : 0750308028
ISBN-13 : 9780750308021
Rating : 4/5 (28 Downloads)

Synopsis Path Integrals in Physics by : M Chaichian

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.

Path Integrals in Quantum Mechanics

Path Integrals in Quantum Mechanics
Author :
Publisher :
Total Pages : 336
Release :
ISBN-10 : 9780198566755
ISBN-13 : 0198566751
Rating : 4/5 (55 Downloads)

Synopsis Path Integrals in Quantum Mechanics by : Jean Zinn-Justin

Quantum field theory is hardly comprehensible without path integrals: the goal of this book is to introduce students to this topic within the context of ordinary quantum mechanics and non-relativistic many-body theory, before facing the problems associated with the more involved quantum field theory formalism.

Quantum Field Theory

Quantum Field Theory
Author :
Publisher : John Wiley & Sons
Total Pages : 446
Release :
ISBN-10 : 9783527617388
ISBN-13 : 3527617388
Rating : 4/5 (88 Downloads)

Synopsis Quantum Field Theory by : Kerson Huang

A unique approach to quantum field theory, with emphasis on the principles of renormalization Quantum field theory is frequently approached from the perspective of particle physics. This book adopts a more general point of view and includes applications of condensed matter physics. Written by a highly respected writer and researcher, it first develops traditional concepts, including Feynman graphs, before moving on to key topics such as functional integrals, statistical mechanics, and Wilson's renormalization group. The connection between the latter and conventional perturbative renormalization is explained. Quantum Field Theory is an exceptional textbook for graduate students familiar with advanced quantum mechanics as well as physicists with an interest in theoretical physics. It features: * Coverage of quantum electrodynamics with practical calculations and a discussion of perturbative renormalization * A discussion of the Feynman path integrals and a host of current subjects, including the physical approach to renormalization, spontaneous symmetry breaking and superfluidity, and topological excitations * Nineteen self-contained chapters with exercises, supplemented with graphs and charts