Electrodynamics of point particle at relativistic velocities

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Discussion Overview

The discussion centers around the electromagnetic field, potential, and energy of a point particle moving at relativistic velocities. Participants seek references and texts that provide extensive treatment of these topics, particularly in relation to special relativity and electrodynamics.

Discussion Character

  • Technical explanation, Conceptual clarification

Main Points Raised

  • One participant inquires about texts or references that cover the electromagnetic field and energy of a point particle at relativistic speeds.
  • Another suggests chapter 15 of Franklin's "Classical Electromagnetism" as a potential resource.
  • A third participant points to chapter 12 of Griffiths' "Introduction to Electrodynamics," noting it includes an example of a moving point charge.
  • This participant also mentions Wolfgang Rindler's "Introduction to Special Relativity," which discusses electromagnetism in the context of special relativity, though it is more focused on special relativity itself.
  • There is a question about the specific aspects of special relativity the inquirer is interested in, particularly regarding the transformation of fields under Lorentz transformations.
  • Another participant suggests that Griffiths may cover straight motion without acceleration, while recommending Jackson for more complex scenarios involving relativistic acceleration.

Areas of Agreement / Disagreement

Participants provide various references and suggestions, but there is no consensus on a single definitive source. Multiple viewpoints on the adequacy of different texts remain present.

Contextual Notes

Participants express varying levels of familiarity with the suggested texts, and there is uncertainty about the specific details of the inquiry regarding special relativity and electrodynamics.

sanko
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do you know any text or reference with extensive treatment on electromagnetic field ,potential & electromagnetic energy of point particle moving straight at relativistic velocities?
 
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Try chapter 15 of Franklin's "Classical Electromagnetism".
 
Chapter 12 in the common 'Introduction to Electrodynamics' by David J. Griffiths is about electrodynamics and special relativity. I saw an example in the book about a moving point charge so that seems promising.

I had a book in a course once written by Wolfgang Rindler called 'Introduction to Special Relativity' which had a quite long section about electromagnetism and special relativity, but this book was more leaned towards special relativity than electrodynamics (as you can guess by the title).

How much of special relativity theory do you want? And what is it more specific that you're looking for? How the fields of a point charge transform under the Lorentz transformation? Cause that shouldn't be so hard to find, I guess there is a lot on Wikipedia for example.
 
For straight, no acceleration then I think that Griffiths may have that (I don't have it on hand to check though). If you want a detailed analysis for more abstract situations (relativistic, accelerating) Jackson has a good treatment of the subject.
 

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