Electrodynamics : a modern geometric approach

著者

• Baylis, William E. (William Eric)

書誌事項

Electrodynamics : a modern geometric approach

William E. Baylis

（Progress in physics, v. 17）

Birkhäuser, c1999

注記

Includes bibliographical references and index

内容説明・目次

巻冊次

ISBN 9780817640255

内容説明

The emphasis in this text is on classical electromagnetic theory and electrodynamics, that is, dynamical solutions to the Lorentz-force and Maxwell's equations. The natural appearance of the Minkowski spacetime metric in the paravector space of Clifford's geometric algebra is used to formulate a covariant treatment in special relativity that seamlessly connects spacetime concepts to the spatial vector treatments common in undergraduate texts. Baylis' geometrical interpretation, using such powerful tools as spinors and projectors, essentially allows a component-free notation and avoids the clutter of indices required in tensorial treatments. The exposition is clear and progresses systematically - from a discussion of electromagnetic units and an explanation of how the SI system can be readily converted to the Gaussian or natural Heaviside-Lorentz systems, to an introduction of geometric algebra and the paravector model of spacetime, and finally, special relativity. Other topics include Maxwell's equation(s), the Lorentz-force law, the Fresnel equations, electromagnetic waves and polarization, wave guides, radiation from accelerating charges and time-dependent currents, the Lienard-Wiechert potentials, and radiation reaction, all of which benefit from the modern relativistic approach. Numerous worked examples and exercises dispersed throughout the text help the reader understand new concepts and facilitate self-study of the material. Each chapter concludes with a set of problems, many with answers. Complete solutions are also available. An excellent feature is the integration of Maple into the text, thereby facilitating difficult calculations. To download accompanying Maple worksheets, please visit http://www.cs.uwindsor.ca/users/b/baylis

目次

1. Introduction * 2. Special Relativity * 3. Maxwell's Equation(s) * 4. Lorentz-Force Equation * 5. Electromagnetic Waves in 1-D * 6. Electromagnetic Waves in Vacuum * 7. Polarization * 8. Waves in Media * 9. Waves at Boundaries * 10. The Field of a Moving Charge * 11. The Model Atom and Other Applications * 12. The Lorentz-Dirac Equation * 13. Rotations and Spherical Harmonics * 14. Radiation Multipoles * A. Appendix: Other Coordinate Systems * B. Appendix: Maple Worksheet rad3.mws * Bibliography * Index

巻冊次

ISBN 9783764340254

内容説明

This is a textbook in electrodynamics from a mathematical viewpoint - the Clifford Algebra approach. There are a large number of examples and applications to specific physical problems, diagrams, and the use of Maple.

目次

• Special relativity
• Maxwell's equation(s)
• Lorentz-Force equations
• electromagnetic waves in 1-D electromagnetic waves in vacuum
• polarization
• waves in media
• waves at boundaries
• the field of a moving charge
• the Lorrentz-Dirac equation
• rotations and spherical harmonics
• radiation multipoles.

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詳細情報

• NII書誌ID(NCID): BA40054687
• ISBN:
  • 0817640258
  • 3764340258
• LCCN: 98031155
• 出版国コード: us
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Boston
• ページ数/冊数: xv, 380 p.
• 大きさ: 24 cm
• 分類:
  • LCC : QC631
  • DC21 : 537.6
• 件名:
  • LCSH : Electrodynamics
• 親書誌ID:
  • BA00006703