Quantization of Fields Obeying Nonlinear Constraints
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Total Pages | : |
Release | : 1974 |
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Release | : 1974 |
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Author | : Dmitri Gitman |
Publisher | : Springer Science & Business Media |
Total Pages | : 301 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 364283938X |
Gauge field theories underlie all models now used in elementary particle physics. These theories refer to the class of singular theories which are also theories with constraints. The quantization of singular theories remains one of the key problems of quantum field theory and is being intensively discussed in the literature. This book is an attempt to fill the need for a comprehensive analysis of this problem, which has not heretofore been met by the available monographs and reviews. The main topics are canonical quantization and the path integral method. In addition, the Lagrangian BRST quantization is completely described, for the first time in a monograph. The book also presents a number of original results obtained by the authors, in particular, a complete description of the physical sector of an arbitrary gauge theory, quantization of singular theories with higher theories with time-dependent constraints, and correct derivatives, quantization of canonical quantization of theories of a relativistic point-like particle. As a general illustration we present quantization of field theories such as electrodynamics, Yang-Mills theory, and gravity. It should be noted that this monograph is aimed not only at giving the reader the rules of quantization according to the principle "if you do it this way, it will be good", but also at presenting strong arguments based on the modem interpretation of the classical and quantum theories which show that these methods· are the natural, if not the only possible ones.
Author | : Dmitriy M Gitman |
Publisher | : |
Total Pages | : 308 |
Release | : 1990-10-17 |
Genre | : |
ISBN | : 9783642839399 |
Author | : |
Publisher | : |
Total Pages | : 964 |
Release | : 1976 |
Genre | : Nuclear energy |
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Author | : Y. Takahashi |
Publisher | : Elsevier |
Total Pages | : 311 |
Release | : 2016-09-20 |
Genre | : Science |
ISBN | : 148318627X |
An Introduction to Field Quantization is an introductory discussion of field quantization and problems closely related to it. Field quantization establishes a commutation relation of the field and finds an operator in such a manner that the Heisenberg equation of motion is satisfied. This book contains eight chapters and begins with a review of the quantization of the Schroedinger field and the close relation between quantized field theory and the many-body theory in quantum mechanics. These topics are followed by discussions of the quantization of the radiation field and the field of lattice vibrations in a solid. The succeeding chapter deals with the familiar linear equations in relativistic field theory and the deduction of certain spin independent theories, which these fields have in common. Other chapter explores the derivation technique of the conservation laws for fields with arbitrary spin directly from the field equations without explicit recourse to Noether's theorem using a configuration space version of the generalized Ward identity. The discussion then shifts to the relativistic quantization method applicable to any field with arbitrary spin; the transformation of various fields under the Lorentz transformation; and a general method for constructing wave functions explicitly, as well as the application of this method to several examples. The concluding chapter focuses on the quantization of interacting fields. This book will prove useful to physicists and researchers.
Author | : Filippo Colomo |
Publisher | : World Scientific |
Total Pages | : 462 |
Release | : 1994-05-27 |
Genre | : |
ISBN | : 9814552275 |
This second workshop on constraint theory aims at reviewing the developments that have taken place in the theory of singular Lagrangians and Dirac-Bergmann Hamiltonian constraints as well as their quantization. Since this theory lies behind all special and general relativistic systems, the topics covered here naturally range from mathematical physics to relativistic system particles, strings and fields and further to general relativity. The variety of topics discussed makes this an important, interesting and informative book.
Author | : Alexei L. Rebenko |
Publisher | : Walter de Gruyter |
Total Pages | : 588 |
Release | : 2012-07-04 |
Genre | : Mathematics |
ISBN | : 3110250632 |
This monograph is devoted to the systematic presentation of foundations of the quantum field theory. Unlike numerous monographs devoted to this topic, a wide range of problems covered in this book are accompanied by their sufficiently clear interpretations and applications. An important significant feature of this monograph is the desire of the author to present mathematical problems of the quantum field theory with regard to new methods of the constructive and Euclidean field theory that appeared in the last thirty years of the 20th century and are based on the rigorous mathematical apparatus of functional analysis, the theory of operators, and the theory of generalized functions. The monograph is useful for students, post-graduate students, and young scientists who desire to understand not only the formality of construction of the quantum field theory but also its essence and connection with the classical mechanics, relativistic classical field theory, quantum mechanics, group theory, and the theory of path integral formalism.
Author | : Peter D. Drummond |
Publisher | : Cambridge University Press |
Total Pages | : 385 |
Release | : 2014-03-27 |
Genre | : Science |
ISBN | : 1139915835 |
Playing a prominent role in communications, quantum science and laser physics, quantum nonlinear optics is an increasingly important field. This book presents a self-contained treatment of field quantization and covers topics such as the canonical formalism for fields, phase-space representations and the encompassing problem of quantization of electrodynamics in linear and nonlinear media. Starting with a summary of classical nonlinear optics, it then explains in detail the calculation techniques for quantum nonlinear optical systems and their applications, quantum and classical noise sources in optical fibers and applications of nonlinear optics to quantum information science. Supplemented by end-of-chapter exercises and detailed examples of calculation techniques in different systems, this book is a valuable resource for graduate students and researchers in nonlinear optics, condensed matter physics, quantum information and atomic physics. A solid foundation in quantum mechanics and classical electrodynamics is assumed, but no prior knowledge of nonlinear optics is required.
Author | : S. de Filippo |
Publisher | : Elsevier |
Total Pages | : 259 |
Release | : 2012-12-02 |
Genre | : Science |
ISBN | : 0444598715 |
Experts in general relativity, particle physics and mathematical physics discuss aspects of their recent research. The main emphasis is on the geometrical and algebraic methods used in solving a wide range of problems.
Author | : |
Publisher | : |
Total Pages | : 860 |
Release | : 1988 |
Genre | : Nuclear energy |
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