Classical Covariant Fields

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Publisher : Cambridge University Press
ISBN 13 : 1139432974
Total Pages : 555 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Classical Covariant Fields by : Mark Burgess

Download or read book Classical Covariant Fields written by Mark Burgess and published by Cambridge University Press. This book was released on 2002-04-04 with total page 555 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 2002 book discusses the classical foundations of field theory, using the language of variational methods and covariance, and relating the subject to quantum field theory. Ideal as a supplementary text for graduate courses on elementary field theory, group theory and dynamical systems. Also a valuable reference for researchers.

Classical Covariant Fields

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Publisher : Cambridge University Press
ISBN 13 : 100928990X
Total Pages : 553 pages
Book Rating : 4.0/5 (92 download)

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Book Synopsis Classical Covariant Fields by : Mark Burgess

Download or read book Classical Covariant Fields written by Mark Burgess and published by Cambridge University Press. This book was released on 2023-01-31 with total page 553 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 2002 book is for graduate students and researchers working on field theory, group theory and dynamical systems.

Classical Field Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 3642279856
Total Pages : 443 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Classical Field Theory by : Florian Scheck

Download or read book Classical Field Theory written by Florian Scheck and published by Springer Science & Business Media. This book was released on 2012-05-08 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book describes Maxwell's equations first in their integral, directly testable form, then moves on to their local formulation. The first two chapters cover all essential properties of Maxwell's equations, including their symmetries and their covariance in a modern notation. Chapter 3 is devoted to Maxwell theory as a classical field theory and to solutions of the wave equation. Chapter 4 deals with important applications of Maxwell theory. It includes topical subjects such as metamaterials with negative refraction index and solutions of Helmholtz' equation in paraxial approximation relevant for the description of laser beams. Chapter 5 describes non-Abelian gauge theories from a classical, geometric point of view, in analogy to Maxwell theory as a prototype, and culminates in an application to the U(2) theory relevant for electroweak interactions. The last chapter 6 gives a concise summary of semi-Riemannian geometry as the framework for the classical field theory of gravitation. The chapter concludes with a discussion of the Schwarzschild solution of Einstein's equations and the classical tests of general relativity (perihelion precession of Mercury, and light deflection by the sun). ------ Textbook features: detailed figures, worked examples, problems and solutions, boxed inserts, highlighted special topics, highlighted important math etc., helpful summaries, appendix, index.

Classical Theory of Gauge Fields

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Publisher : Princeton University Press
ISBN 13 : 1400825091
Total Pages : 456 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Classical Theory of Gauge Fields by : Valery Rubakov

Download or read book Classical Theory of Gauge Fields written by Valery Rubakov and published by Princeton University Press. This book was released on 2009-02-09 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on a highly regarded lecture course at Moscow State University, this is a clear and systematic introduction to gauge field theory. It is unique in providing the means to master gauge field theory prior to the advanced study of quantum mechanics. Though gauge field theory is typically included in courses on quantum field theory, many of its ideas and results can be understood at the classical or semi-classical level. Accordingly, this book is organized so that its early chapters require no special knowledge of quantum mechanics. Aspects of gauge field theory relying on quantum mechanics are introduced only later and in a graduated fashion--making the text ideal for students studying gauge field theory and quantum mechanics simultaneously. The book begins with the basic concepts on which gauge field theory is built. It introduces gauge-invariant Lagrangians and describes the spectra of linear perturbations, including perturbations above nontrivial ground states. The second part focuses on the construction and interpretation of classical solutions that exist entirely due to the nonlinearity of field equations: solitons, bounces, instantons, and sphalerons. The third section considers some of the interesting effects that appear due to interactions of fermions with topological scalar and gauge fields. Mathematical digressions and numerous problems are included throughout. An appendix sketches the role of instantons as saddle points of Euclidean functional integral and related topics. Perfectly suited as an advanced undergraduate or beginning graduate text, this book is an excellent starting point for anyone seeking to understand gauge fields.

Introduction to Classical Field Theory

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Publisher : Morgan & Claypool Publishers
ISBN 13 : 1643270842
Total Pages : 168 pages
Book Rating : 4.6/5 (432 download)

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Book Synopsis Introduction to Classical Field Theory by : Jarrett L Lancaster

Download or read book Introduction to Classical Field Theory written by Jarrett L Lancaster and published by Morgan & Claypool Publishers. This book was released on 2018-09-05 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a short introduction to classical field theory, most suitable for undergraduate students who have had at least intermediate-level courses in electromagnetism and classical mechanics. The main theme of the book is showcasing role of fields in mediating action-at-a-distance interactions. Suitable technical machinery is developed to explore at least some aspect of each of the four known fundamental forces in nature. Beginning with the physically-motivated introduction to field theory, the text covers the relativistic formulation of electromagnetism in great detail so that aspects of gravity and the nuclear interaction not usually encountered at the undergraduate level can be covered by using analogies with familiar electromagentism. Special topics such as the behavior of gravity in extra, compactified dimensions, magnetic monopoles and electromagnetic duality, and the Higgs mechanism are also briefly considered.

Classical Field Theory

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Publisher : Cambridge University Press
ISBN 13 : 1108757901
Total Pages : 483 pages
Book Rating : 4.1/5 (87 download)

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Book Synopsis Classical Field Theory by : Horaƫiu Năstase

Download or read book Classical Field Theory written by Horaƫiu Năstase and published by Cambridge University Press. This book was released on 2019-03-14 with total page 483 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classical field theory predicts how physical fields interact with matter, and is a logical precursor to quantum field theory. This introduction focuses purely on modern classical field theory, helping graduates and researchers build an understanding of classical field theory methods before embarking on future studies in quantum field theory. It describes various classical methods for fields with negligible quantum effects, for instance electromagnetism and gravitational fields. It focuses on solutions that take advantage of classical field theory methods as opposed to applications or geometric properties. Other fields covered includes fermionic fields, scalar fields and Chern–Simons fields. Methods such as symmetries, global and local methods, Noether theorem and energy momentum tensor are also discussed, as well as important solutions of the classical equations, in particular soliton solutions.

Dynamics of Classical and Quantum Fields

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Publisher : Taylor & Francis
ISBN 13 : 1466556285
Total Pages : 391 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Dynamics of Classical and Quantum Fields by : Girish S. Setlur

Download or read book Dynamics of Classical and Quantum Fields written by Girish S. Setlur and published by Taylor & Francis. This book was released on 2013-12-05 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamics of Classical and Quantum Fields: An Introduction focuses on dynamical fields in non-relativistic physics. Written by a physicist for physicists, the book is designed to help readers develop analytical skills related to classical and quantum fields at the non-relativistic level, and think about the concepts and theory through numerous problems. In-depth yet accessible, the book presents new and conventional topics in a self-contained manner that beginners would find useful. A partial list of topics covered includes: Geometrical meaning of Legendre transformation in classical mechanics Dynamical symmetries in the context of Noether’s theorem The derivation of the stress energy tensor of the electromagnetic field, the expression for strain energy in elastic bodies, and the Navier Stokes equation Concepts of right and left movers in case of a Fermi gas explained Functional integration is interpreted as a limit of a sequence of ordinary integrations Path integrals for one and two quantum particles and for a fermion in presence of a filled Fermi sea Fermion and boson Fock spaces, along with operators that create and annihilate particles Coherent state path integrals Many-body topics such as Schrieffer Wolff transformation, Matsubara, and Keldysh Green functions Geometrical meaning of the vortex-vortex correlation function in a charged boson fluid Nonlocal particle-hole creation operators which diagonalize interacting many-body systems The equal mix of novel and traditional topics, use of fresh examples to illustrate conventional concepts, and large number of worked examples make this book ideal for an intensive one-semester course for beginning Ph.D. students. It is also a challenging and thought provoking book for motivated advanced undergraduates.

Electrodynamics and Classical Theory of Fields and Particles

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Author :
Publisher : Courier Corporation
ISBN 13 : 0486158713
Total Pages : 258 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Electrodynamics and Classical Theory of Fields and Particles by : A. O. Barut

Download or read book Electrodynamics and Classical Theory of Fields and Particles written by A. O. Barut and published by Courier Corporation. This book was released on 2012-04-30 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprehensive graduate-level text by a distinguished theoretical physicist reveals the classical underpinnings of modern quantum field theory. Topics include space-time, Lorentz transformations, conservation laws, equations of motion, Green’s functions, and more. 1964 edition.

Introduction to the Classical Theory of Particles and Fields

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Publisher : Springer Science & Business Media
ISBN 13 : 3540409343
Total Pages : 486 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Introduction to the Classical Theory of Particles and Fields by : Boris Kosyakov

Download or read book Introduction to the Classical Theory of Particles and Fields written by Boris Kosyakov and published by Springer Science & Business Media. This book was released on 2007-07-11 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is intended as a systematic introduction to gauge field theory for advanced undergraduate and graduate students in high energy physics. The discussion is restricted to the classical (non-quantum) theory in Minkowski spacetime. Particular attention has been given to conceptual aspects of field theory, accurate definitions of basic physical notions, and thorough analysis of exact solutions to the equations of motion for interacting systems.

Classical Field Theory

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Author :
Publisher : Courier Dover Publications
ISBN 13 : 0486462609
Total Pages : 276 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis Classical Field Theory by : Davison E. Soper

Download or read book Classical Field Theory written by Davison E. Soper and published by Courier Dover Publications. This book was released on 2008-02-04 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text concerns continuum mechanics, electrodynamics and the mechanics of electrically polarized media, and gravity. Geared toward advanced undergraduates and graduate students, it offers an accessible approach that formulates theories according to the principle of least action. The chief advantage of this formulation is its simplicity and ease, making the physical content of classical subjects available to students of physics in a concise form. Author Davison E. Soper, a Professor of Physics at the University of Oregon, intended this treatment as a primary text for courses in classical field theory as well as a supplement for courses in classical mechanics or classical electrodynamics. Topics include fields and transformation laws, the principle of stationary action, general features of classical field theory, the mechanics of fluids and elastic solids, special types of solids, nonrelativistic approximations, and the electromagnetic field. Additional subjects include electromagnetically polarized materials, gravity, momentum conservation in general relativity, and dissipative processes.

Classical Mathematical Physics

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Publisher : Springer Science & Business Media
ISBN 13 : 9780387406152
Total Pages : 580 pages
Book Rating : 4.4/5 (61 download)

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Book Synopsis Classical Mathematical Physics by : Walter Thirring

Download or read book Classical Mathematical Physics written by Walter Thirring and published by Springer Science & Business Media. This book was released on 2003-10-17 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume combines the enlarged and corrected editions of both volumes on classical physics of Thirring's famous course in mathematical physics. With numerous examples and remarks accompanying the text, it is suitable as a textbook for students in physics, mathematics, and applied mathematics. The treatment of classical dynamical systems uses analysis on manifolds to provide the mathematical setting for discussions of Hamiltonian systems, canonical transformations, constants of motion, and pertubation theory. Problems discussed in considerable detail include: nonrelativistic motion of particles and systems, relativistic motion in electromagnetic and gravitational fields, and the structure of black holes. The treatment of classical fields uses the language of differenial geometry throughout, treating both Maxwell's and Einstein's equations in a compact and clear fashion. The book includes discussions of the electromagnetic field due to known charge distributions and in the presence of conductors as well as a new section on gauge theories. It discusses the solutions of the Einstein equations for maximally symmetric spaces and spaces with maximally symmetric submanifolds; it concludes by applying these results to the life and death of stars.

The Classical Theory of Fields

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Publisher : Springer Science & Business Media
ISBN 13 : 3642232043
Total Pages : 445 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis The Classical Theory of Fields by : Carl S. Helrich

Download or read book The Classical Theory of Fields written by Carl S. Helrich and published by Springer Science & Business Media. This book was released on 2012-01-13 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of classical electromagnetic fields is an adventure. The theory is complete mathematically and we are able to present it as an example of classical Newtonian experimental and mathematical philosophy. There is a set of foundational experiments, on which most of the theory is constructed. And then there is the bold theoretical proposal of a field-field interaction from James Clerk Maxwell. This textbook presents the theory of classical fields as a mathematical structure based solidly on laboratory experiments. Here the student is introduced to the beauty of classical field theory as a gem of theoretical physics. To keep the discussion fluid, the history is placed in a beginning chapter and some of the mathematical proofs in the appendices. Chapters on Green’s Functions and Laplace’s Equation and a discussion of Faraday’s Experiment further deepen the understanding. The chapter on Einstein’s relativity is an integral necessity to the text. Finally, chapters on particle motion and waves in a dispersive medium complete the picture. High quality diagrams and detailed end-of-chapter questions enhance the learning experience.

Geometry of Classical Fields

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Publisher : Courier Corporation
ISBN 13 : 0486150445
Total Pages : 474 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Geometry of Classical Fields by : Ernst Binz

Download or read book Geometry of Classical Fields written by Ernst Binz and published by Courier Corporation. This book was released on 2011-11-30 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: A canonical quantization approach to classical field theory, this text is suitable for mathematicians interested in theoretical physics as well as to theoretical physicists who use differential geometric methods in their modelling. Introduces differential geometry, the theory of Lie groups, and progresses to discuss the systematic development of a covariant Hamiltonian formulation of field theory. 1988 edition.

Advances in Classical Field Theory

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Publisher : Bentham Science Publishers
ISBN 13 : 1608051951
Total Pages : 302 pages
Book Rating : 4.6/5 (8 download)

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Book Synopsis Advances in Classical Field Theory by : Asher Yahalom

Download or read book Advances in Classical Field Theory written by Asher Yahalom and published by Bentham Science Publishers. This book was released on 2011 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: Annotation Classical field theory is employed by physicists to describe a wide variety of physical phenomena. These include electromagnetism, fluid dynamics, gravitation and quantum mechanics. The central entity of field theory is the field which is usually a multi component function of space and time. Those multi component functions are usually grouped together as vector fields as in the case in electromagnetic theory and fluid dynamics, in other cases they are grouped as tensors as in theories of gravitation and yet in other cases they are grouped as complex functions as in the case of quantum mechanics. In order to know the value of the field one needs to solve a set of coupled partial differential equations with given boundary and initial conditions. The book covers a selection of recent advances in classical field theory involving electromagnetism, fluid dynamics, gravitation and quantum mechanics. Advances in Classical Field Theory will benefit readers by saving them the effort to read through numerous journal articles which would be needed to obtain a coherent picture of classical field theory otherwise. The book is unique in its aim and scope and is not similar to any existing publication.

Classical Field Theory

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Publisher : Cambridge University Press
ISBN 13 : 1107189616
Total Pages : 219 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis Classical Field Theory by : Joel Franklin

Download or read book Classical Field Theory written by Joel Franklin and published by Cambridge University Press. This book was released on 2017-04-27 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: Special relativity -- Point particle fields -- Field Lagrangians -- Gravity

From Classical to Quantum Fields

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Publisher : Oxford University Press
ISBN 13 : 0198788398
Total Pages : 951 pages
Book Rating : 4.1/5 (987 download)

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Book Synopsis From Classical to Quantum Fields by : Laurent Baulieu

Download or read book From Classical to Quantum Fields written by Laurent Baulieu and published by Oxford University Press. This book was released on 2017 with total page 951 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum Field Theory has become the universal language of most modern theoretical physics. This introductory textbook shows how this beautiful theory offers the correct mathematical framework to describe and understand the fundamental interactions of elementary particles. The book begins with a brief reminder of basic classical field theories, electrodynamics and general relativity, as well as their symmetry properties, and proceeds with the principles of quantisation following Feynman's path integral approach. Special care is used at every step to illustrate the correct mathematical formulation of the underlying assumptions. Gauge theories and the problems encountered in their quantisation are discussed in detail. The last chapters contain a full description of the Standard Model of particle physics and the attempts to go beyond it, such as grand unified theories and supersymmetry. Written for advanced undergraduate and beginning graduate students in physics and mathematics, the book could also serve as a reference for active researchers in the field.

Advanced Classical Field Theory

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Publisher : World Scientific
ISBN 13 : 9812838961
Total Pages : 393 pages
Book Rating : 4.8/5 (128 download)

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Book Synopsis Advanced Classical Field Theory by : G. Giachetta

Download or read book Advanced Classical Field Theory written by G. Giachetta and published by World Scientific. This book was released on 2009 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contemporary quantum field theory is mainly developed as quantization of classical fields. Therefore, classical field theory and its BRST extension is the necessary step towards quantum field theory. This book aims to provide a complete mathematical foundation of Lagrangian classical field theory and its BRST extension for the purpose of quantization. Based on the standard geometric formulation of theory of nonlinear differential operators, Lagrangian field theory is treated in a very general setting. Reducible degenerate Lagrangian theories of even and odd fields on an arbitrary smooth manifold are considered. The second Noether theorems generalized to these theories and formulated in the homology terms provide the strict mathematical formulation of BRST extended classical field theory. The most physically relevant field theories OCo gauge theory on principal bundles, gravitation theory on natural bundles, theory of spinor fields and topological field theory OCo are presented in a complete way. This book is designed for theoreticians and mathematical physicists specializing in field theory. The authors have tried throughout to provide the necessary mathematical background, thus making the exposition self-contained.