Symmetries of Maxwell’s Equations

Symmetries of Maxwell’s Equations PDF Author: W.I. Fushchich
Publisher: Springer Science & Business Media
ISBN: 9400937296
Category : Science
Languages : en
Pages : 228

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Book Description
Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the fina\ question. G. K. Chesterton. The Scandal of Father 'The Hermit Oad in Crane Feathers' in R. Brown 'The point of a Pin'. van Gu\ik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.

Symmetries of Maxwell’s Equations

Symmetries of Maxwell’s Equations PDF Author: W.I. Fushchich
Publisher: Springer Science & Business Media
ISBN: 9400937296
Category : Science
Languages : en
Pages : 228

Get Book Here

Book Description
Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the fina\ question. G. K. Chesterton. The Scandal of Father 'The Hermit Oad in Crane Feathers' in R. Brown 'The point of a Pin'. van Gu\ik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.

Symmetry Operator for the Maxwell Equations

Symmetry Operator for the Maxwell Equations PDF Author: José Onesimo Andrade
Publisher:
ISBN:
Category : Maxwell equations
Languages : en
Pages :

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Book Description


Symmetry Operators for Maxwell's Equations on Curved Space-time

Symmetry Operators for Maxwell's Equations on Curved Space-time PDF Author: E. G. Kalnins
Publisher:
ISBN:
Category : Maxwell equations
Languages : en
Pages : 16

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Book Description


Symmetry Operators for Maxwell's Equations on Curved Space-time

Symmetry Operators for Maxwell's Equations on Curved Space-time PDF Author: E. G. Kalnins
Publisher:
ISBN:
Category : Maxwell equations
Languages : en
Pages : 16

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Book Description


Symmetry Operators for the Weyl-neutrino and Maxwell's Equations on Curved Spacetime

Symmetry Operators for the Weyl-neutrino and Maxwell's Equations on Curved Spacetime PDF Author: David McPetrie Walker
Publisher:
ISBN:
Category :
Languages : en
Pages : 222

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Book Description


Electromagnetic Symmetry

Electromagnetic Symmetry PDF Author: Carl E. Baum
Publisher: CRC Press
ISBN: 9781560323211
Category : Mathematics
Languages : en
Pages : 400

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Book Description
This text is intended to help expand knowledge of electromagnetic theory. It integrates principles of quantum physics to electromagnetics with the aim of producing electromagnetic devices with more desirable performance features.

Symmetries of Equations of Quantum Mechanics

Symmetries of Equations of Quantum Mechanics PDF Author: Vilʹgelʹm Ilʹich Fushchich
Publisher:
ISBN:
Category : Field theory (Physics)
Languages : en
Pages : 492

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Book Description


General Relativity And Relativistic Astrophysics - Proceedings Of The 4th Canadian Conference

General Relativity And Relativistic Astrophysics - Proceedings Of The 4th Canadian Conference PDF Author: Gabor Kunstatter
Publisher: World Scientific
ISBN: 9814554871
Category :
Languages : en
Pages : 390

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Book Description
This proceedings contains the talks delivered at plenary and parallel sessions by leading researchers in both classical and quantum general relativity and in astrophysics.

Symmetry and Electromagnetic Interaction of Fields with Multi-spin

Symmetry and Electromagnetic Interaction of Fields with Multi-spin PDF Author: Sergey Kruglov
Publisher: Nova Publishers
ISBN: 9781560728801
Category : Mathematics
Languages : en
Pages : 228

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Book Description
This book deals with fields which possess different spins so, that there is an additional internal symmetry of such schemes. The main feature of theories with multi-spin is that transformations of the Lorentz and internal symmetry groups do not commute each other. So, parameters of the group are tensors but not scalars as in the more common-gauge theories. This kind of symmetry is also different from supersymmetry where group parameters are not scalars. The difference is that in this case the algebra of generators of the symmetry is closed without adding the generators of the Poincaré group. Consideration of schemes of fields with multi-spin possess some attractive features and avoid some difficulties but the price of this is the presence of the indefinite metric. It should be noted that some quantum theories of gravity also require the introduction of an indefinite metric. The localisation of parameters of the internal symmetry group leads to the gauge fields and field interactions. In Part II solutions are found for equations for particles with different spins in external classical and quantified electromagnetic fields, as well as the interaction of fields with multi-spin with external electromagnetic fields of different configurations.

Foundations for Microwave Circuits

Foundations for Microwave Circuits PDF Author: Gilbert H. Owyang
Publisher: Springer Science & Business Media
ISBN: 1461388937
Category : Technology & Engineering
Languages : en
Pages : 895

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Book Description
While many articles have been written on microwave devices, a great majority of them are prepared for specialists dealing in specific aspects of microwave engineering. At the same time, material at a fundamental level in tutorial form is extremely limited, especially for stu dents who need to acquire basic knowledge in the field. Individuals seeking to gain a prelim inary understanding of microwave circuits are usually relegated with little success to the end less search from one reference source to another. For non-experts, sequential derivations of basic relations are rarely available and extremely difficult to locate. The purpose of this volume is to collect in one place the essential fundamental principles for a group of microwave devices. The chosen devices are those which form the basic modules found in practical microwave systems. Thus, these devices provide the crucial build ing blocks in common microwave systems, and their inherent characteristics are also the basis of some of the fundamental concepts in more complex devices. The material is presented in a continuous, self-contained manner. With the appropriate background, readers should be able to follow and understand the contents without the need for additional references.