Quantization Of Fields
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Field Quantization
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Author : Walter Greiner
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Field Quantization written by Walter Greiner and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Science categories.
Theoretical physics has become a many-faceted science. For the young stu dent it is difficult enough to cope with the overwhelming amount of new scientific material that has to be learned, let alone obtain an overview of the entire field, which ranges from mechanics through electrodynamics, quantum mechanics, field theory, nuclear and heavy-ion science, statistical mechanics, thermodynamics, and solid-state theory to elementary-particle physics. And this knowledge should be acquired in just 8-10 semesters, during which, in addition, a Diploma or Master's thesis has to be worked on or examinations prepared for. All this can be achieved only if the university teachers help to introduce the student to the new disciplines as early on as possible, in order to create interest and excitement that in turn set free essential new energy. At the Johann Wolfgang Goethe University in Frankfurt we therefore con front the student with theoretical physics immediately, in the first semester. Theoretical Mechanics I and II, Electrodynamics, and Quantum Mechanics I - An Introduction are the basic courses during the first two years. These lectures are supplemented with many mathematical explanations and much support material. After the fourth semester of studies, graduate work begins, and Quantum Mechanics II - Symmetries, Statistical Mechanics and Ther modynamics, Relativistic Quantum Mechanics, Quantum Electrodynamics, the Gauge Theory of Weak Interactions, and Quantum Chromo dynamics are obligatory.
An Introduction To Field Quantization
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Author : Y. Takahashi
language : en
Publisher: Elsevier
Release Date : 2016-09-20
An Introduction To Field Quantization written by Y. Takahashi and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-20 with Science categories.
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.
Quantization Of Fields With Constraints
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Author : Dmitri Gitman
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Quantization Of Fields With Constraints written by Dmitri Gitman and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
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.
Quantization Of Fields
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Author : Andrey Nikolaevich Volobuev
language : en
Publisher:
Release Date : 2018-09-24
Quantization Of Fields written by Andrey Nikolaevich Volobuev and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-24 with Electromagnetic fields categories.
In the book Quantization of Fields, the problems of electromagnetic and gravitational fields quantization are examined. Quantization of an electromagnetic field is carried out in photon space, i.e., in the reference system moving with a light velocity. This reference system accompanies a photon, therefore, it is possible to carry out the display of a photon to receive representation about its form and to investigate its parameters and properties. In photon space, the Schrodinger's nonlinear equation with logarithmic nonlinearity (which the wave function of a photon obeys) is found. On the basis of this equation, the problem of a material particle and photon interaction in photon space is investigated. It is shown that the interaction of a photon and material particle can be calculated in the closed form in photon space. Such calculations can be carried out only approximately by a method of the perturbations theory in Euclidian spaces. It is shown that during interaction of a photon and electron on the electron surface, there are waves propagating with a light velocity. The problem of a vacuum in the photon space and also multiphoton system in this space is investigated.During the quantization of a gravitational field, Einstein's equation for a field of gravitation as a basis is used. It is assumed that curved space-time (Riemann's space) is not quantized. Quantization is subjected to an energy-impulse tensor. It is supposed that the curvature of space-time due to the presence of the massive bodies does not create a strength condition in space. The part of corresponding components of an energy-impulse tensor is replaced with quantum sizes by a principle of formation for the quantum mechanics matrix form. On the basis of the quantum form of the gravitational field equation, the solution as a graviton-quantum of a gravitational field is received. It is shown that during the propagation of a graviton near a massive body, there is a pumping of the gravitation field energy in the graviton. Therefore, in the field of a massive body, the graviton is possible to register. When there is distance between the graviton and a massive body, its energy is pumped over back in a gravitation field of a massive body. Therefore, to registering the graviton far from a massive body is problematic. In the book, some standard questions of general relativity - the classical theory of gravitational radiation, the theory of gravitational waves, the Schwarzschild's theory of the solitary mass field, etc. - are submitted also.
Quantization Of Fields With Constraints
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Author : Dmitriy M Gitman
language : en
Publisher:
Release Date : 1990-10-17
Quantization Of Fields With Constraints written by Dmitriy M Gitman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-10-17 with categories.
Mathematics Of Quantization And Quantum Fields
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Author : Jan Dereziński
language : en
Publisher: Cambridge University Press
Release Date : 2013-03-07
Mathematics Of Quantization And Quantum Fields written by Jan Dereziński and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-07 with Science categories.
A unique and definitive review of mathematical aspects of quantization and quantum field theory for graduate students and researchers.
Quantum Theory Of Fields
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Author : Gregor Wentzel
language : en
Publisher: Courier Corporation
Release Date : 2014-03-05
Quantum Theory Of Fields written by Gregor Wentzel and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-05 with Science categories.
Written by a pioneer of quantum field theory, this introductory volume explores scalar fields, vector meson fields, quantum electrodynamics, quantization of electron wave field according to exclusion principle. 1949 edition.
Enhanced Quantization Particles Fields Gravity
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Author : John R Klauder
language : en
Publisher: World Scientific
Release Date : 2015-02-04
Enhanced Quantization Particles Fields Gravity written by John R Klauder and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-02-04 with Science categories.
This pioneering book addresses the question: Are the standard procedures of canonical quantization fully satisfactory, or is there more to learn about assigning a proper quantum system to a given classical system? As shown in this book, the answer to this question is: The standard procedures of canonical quantization are not the whole story!This book offers alternative quantization procedures that complete the story of quantization. The initial chapters are designed to present the new procedures in a clear and simple manner for general readers. As is necessary, systems that exhibit acceptable results with conventional quantization lead to the same results when the new procedures are used for them. However, later chapters examine selected models that lead to unacceptable results when quantized conventionally. Fortunately, these same models lead to acceptable results when the new quantization procedures are used.
Particles And Quantum Fields
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Author : Hagen Kleinert
language : en
Publisher: World Scientific
Release Date : 2016-05-30
Particles And Quantum Fields written by Hagen Kleinert and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-30 with Science categories.
This is an introductory book on elementary particles and their interactions. It starts out with many-body Schrödinger theory and second quantization and leads, via its generalization, to relativistic fields of various spins and to gravity. The text begins with the best known quantum field theory so far, the quantum electrodynamics of photon and electrons (QED). It continues by developing the theory of strong interactions between the elementary constituents of matter (quarks). This is possible due to the property called asymptotic freedom. On the way one has to tackle the problem of removing various infinities by renormalization. The divergent sums of infinitely many diagrams are performed with the renormalization group or by variational perturbation theory (VPT). The latter is an outcome of the Feynman-Kleinert variational approach to path integrals discussed in two earlier books of the author, one representing a comprehensive treatise on path integrals, the other dealing with critial phenomena. Unlike ordinary perturbation theory, VPT produces uniformly convergent series which are valid from weak to strong couplings, where they describe critical phenomena.The present book develops the theory of effective actions which allow to treat quantum phenomena with classical formalism. For example, it derives the observed anomalous power laws of strongly interacting theories from an extremum of the action. Their fluctuations are not based on Gaussian distributions, as in the perturbative treatment of quantum field theories, or in asymptotically-free theories, but on deviations from the average which are much larger and which obey power-like distributions.Exactly solvable models are discussed and their physical properties are compared with those derived from general methods. In the last chapter we discuss the problem of quantizing the classical theory of gravity.
Quantization Classical And Quantum Field Theory And Theta Functions
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Author : Andrej Tyurin
language : en
Publisher: American Mathematical Soc.
Release Date : 2003
Quantization Classical And Quantum Field Theory And Theta Functions written by Andrej Tyurin and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Functions, Theta categories.
This book is written by a well-known expert in classical algebraic geometry. Tyurin's research was specifically in explicit computations to vector bundles on algebraic varieties. This is the only available monograph written from his unique viewpoint. Ordinary (abelian) theta functions describe properties of moduli spaces of one-dimensional vector bundles on algebraic curves. Non-abelian theta functions, which are the main topic of this book, play a similar role in the study of higher-dimensional vector bundles. The book presents various aspects of the theory of non-abelian theta functions and the moduli spaces of vector bundles, including their applications to problems of quantization and to classical and quantum conformal field theories. The book is an important source of information for specialists in algebraic geometry and its applications to mathematical aspects of quantum field theory.