Advances in Classical Field Theory


by

Asher Yahalom

DOI: 10.2174/97816080519531110101
eISBN: 978-1-60805-195-3, 2011
ISBN: 978-1-60805-645-3



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Indexed in: Scopus

Classical field theory is employed by physicists to describe a wide variety of physical phenomena. These include electromagnetism, flu...[view complete introduction]

Table of Contents

Preface

- Pp. i-ii (2)

Asher Yahalom

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Contributors

- Pp. iii

Asher Yahalom

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Advances in the Field Theory of Flows

- Pp. 1-34 (34)

Asher Yahalom

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Advances in the field theory of dissipative electromagnetic fields

- Pp. 35-54 (20)

Asher Yahalom

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Coupled-Mode Theory of Electromagnetism including Wide Band Distributed Interactions

- Pp. 55-85 (31)

Yosef Pinhasi, Yuri Lurie and Gad A. Pinhasi

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Variational analysis of electromagnetic fields in closed and open structures

- Pp. 86-101 (16)

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Advances in the field theory of magnetohydrodynamics

- Pp. 102-152 (51)

Asher Yahalom

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The geometrical meaning of time - the emergence of the concept of time in the general theory of relativity

- Pp. 153-165 (13)

Asher Yahalom

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Modified Newtonian Dynamics (MOND) in the framework of covariant and non covariant field theory

- Pp. 166-183 (18)

Marcelo Schiffer

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Continuity Equation for an Embedded System

- Pp. 184-194 (11)

Robert Englman

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The Emergence of non Abelian Gauge Field Theory from the Born - Oppenheimer Treatment

- Pp. 195-224 (30)

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Collapse of Wave-Packet component Phases: A Dispersion Relation Treatment

- Pp. 225-256 (32)

Robert Englman

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Index

- Pp. 257-291 (35)

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Preface

Classical field theory is used by physicists to describe a wide variety of physical phenomena. Those 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 of electromagnetic theory and fluid dynamics, in other cases they are grouped as tensors as in theory 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. Both the equations and the boundary and initial conditions are in most cases available from a variational principle through an adequate Lagrangian, although in some cases this is less straight forward as in the case of fluid dynamics. An appropriate field theory satisfies two main requirements: First it should describe correctly the relevant physical phenomena and second the theory should describe the phenomena with a minimal number of functions, equations and assumptions. Advances in classical theory have thus two principal meanings. One meaning is improvement of a known theory in the sense that the new theory proposed now describes correctly a wider class of physical phenomena. A second meaning is that a given physical phenomena is described by less functions, equations or assumptions than was needed before.

This book is aimed at introducing recent advances in classical field theory of both meanings. The book will cover recent advances in electromagnetism, fluid dynamics, gravitation and quantum mechanics. Not all advances will be covered but rather a selected group.

A final note regarding the meaning of the word "classical" in the present context. In classical field theory the fields are multi component functions, in contrast to "quantum" field theories in which the fields are multi component operators. The bridge between classical and quantum fields is the process of "second quantization" or through the Feynman path integral. The quantum field theory is usually used to describe elementary particle phenomena and will not be discussed here.

I would like to thank all contributors to the present book, those include (in alphabetical order): Prof. Robert Englman, Dr. Yuri Lurie, Dr. Gad A. Pinhasi, Prof. Yosef Pinhasi and Dr. Marcelo Schiffer. The name of each of the contributors is indicated on the chapter which he contributed. Chapters in which no name appear were authored solely by the editor of this book.

Lat but not least thanks are due to Mr. Netanel Gabdank for his meticulous preparation of the index of this book and to the editorial director Dr. Matthew Honan and Ms. Bushra Siddiqui of Bentham Science Publishers for prolific collaboration.

Asher Yahalom
Ariel University
Israel

List of Contributors

Editor(s):
Asher Yahalom
Ariel University Center of Samaria
Israel




Contributor(s):
Asher Yahalom
Ariel University Center of Samaria
Ariel , 40700
Israel


Robert Englman
Department of Physics and Applied Mathematics
Soreq NRC
Yavne , 81800
Israel


Yosef Pinhasi
Ariel University Center of Samaria, P.O.B. 3
Ariel , 40700
Israel


Yuri Lurie
Ariel University Center of Samaria, P.O.B. 3
Ariel , 40700
Israel


Gad A. Pinhasi
Ariel University Center of Samaria, P.O.B. 3
Ariel , 40700
Israel


Marcelo Schiffer
Ariel University Center of Samaria, P.O.B. 3
Ariel , 40700
Israel




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