Ebook: Relativistic Electrodynamics and Differential Geometry
Author: Stephen Parrott (auth.)
- Tags: Differential Geometry, Optics and Electrodynamics, Theoretical Mathematical and Computational Physics
- Year: 1987
- Publisher: Springer-Verlag New York
- Edition: 1
- Language: English
- pdf
The aim of this book is to provide a short but complete exposition of the logical structure of classical relativistic electrodynamics written in the language and spirit of coordinate-free differential geometry. The intended audience is primarily mathematicians who want a bare-bones account of the foundations of electrodynamics written in language with which they are familiar and secondarily physicists who may be curious how their old friend looks in the new clothes of the differential-geometric viewpoint which in recent years has become an important language and tool for theoretical physics. This work is not intended to be a textbook in electrodynamics in the usual sense; in particular no applications are treated, and the focus is exclusively the equations of motion of charged particles. Rather, it is hoped that it may serve as a bridge between mathemat ics and physics. Many non-physicists are surprised to learn that the correct equation to describe the motion of a classical charged particle is still a matter of some controversy. The most mentioned candidate is the Lorentz-Dirac equation t . However, it is experimentally unverified, is known to have no physically reasonable solutions in certain circumstances, and its usual derivations raise serious foundational issues. Such difficulties are not extensively discussed in most electrodynamics texts, which quite naturally are oriented toward applying the well-verified part of the subject to con crete problems.
Content:
Front Matter....Pages i-xi
Special Relativity....Pages 1-31
Mathematical Tools....Pages 32-92
The Electrodynamics of Infinitesimal Charges....Pages 93-125
The Electrodynamics of Point Charges....Pages 126-171
Further Difficulties and Alternate Approaches....Pages 172-237
Back Matter....Pages 238-307
Content:
Front Matter....Pages i-xi
Special Relativity....Pages 1-31
Mathematical Tools....Pages 32-92
The Electrodynamics of Infinitesimal Charges....Pages 93-125
The Electrodynamics of Point Charges....Pages 126-171
Further Difficulties and Alternate Approaches....Pages 172-237
Back Matter....Pages 238-307
....