Multivectors and Clifford Algebra in Electrodynamics

Лицевая обложка
World Scientific, 1988 - Всего страниц: 316
Clifford algebras are assuming now an increasing role in theoretical physics. Some of them predominantly larger ones are used in elementary particle theory, especially for a unification of the fundamental interactions. The smaller ones are promoted in more classical domains. This book is intended to demonstrate usefulness of Clifford algebras in classical electrodynamics. Written with a pedagogical aim, it begins with an introductory chapter devoted to multivectors and Clifford algebra for the three-dimensional space. In a later chapter modifications are presented necessary for higher dimension and for the pseudoeuclidean metric of the Minkowski space.Among other advantages one is worth mentioning: Due to a bivectorial description of the magnetic field a notion of force surfaces naturally emerges, which reveals an intimate link between the magnetic field and the electric currents as its sources. Because of the elementary level of presentation, this book can be treated as an introductory course to electromagnetic theory. Numerous illustrations are helpful in visualizing the exposition. Furthermore, each chapter ends with a list of problems which amplify or further illustrate the fundamental arguments.
 

Отзывы - Написать отзыв

Не удалось найти ни одного отзыва.

Содержание

CHARGES IN THE ELECTROMAGNETIC FIELD 1 Motion of a Charge in a Uniform Field 2 System of Charges in an External Field 3 Lagrange a...
1
Examples of Electromagnetic Fields and Potentials 2 1 The Uniform Field 2 2 Field of the Electric Charge 2 3 Field of the Linear Current 2 4 The Pla...
2
Charge in the Electromagnetic Field
3
151
60
157
63
ELECTROMAGNETIC FIELD
69
ELECTROMAGNETIC POTENTIALS
114
Currents
124
102
221
107
230
110
236
114
250
119
267
284
284
124
286
132
297

92
188
94
195
97
203
99
214
BEHAVIOUR OF THE INTEGRAL 1 33
305
References
315
Авторские права

Другие издания - Просмотреть все

Часто встречающиеся слова и выражения

Популярные отрывки

Стр. 316 - Quaternionic formulation of classical electrodynamics and theory of functions of a biquaternion variable, Report of Fundamental Physics Laboratory, Department of Electronic Science, Faculty of Science, Okayama University of Science, Feb.

Библиографические данные