Advanced EM Field Book Using Differential Forms

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Discussion Overview

The discussion centers around the search for advanced textbooks on electromagnetic fields that utilize differential forms, specifically seeking resources that are comparable to or exceed the depth of Jackson's work. The focus is on theoretical approaches rather than practical calculations.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification

Main Points Raised

  • One participant inquires about advanced texts on electromagnetic fields that employ differential forms, indicating a solid background in differential forms and algebraic topology.
  • Another participant suggests "Foundations of Classical Electrodynamics" by Hehl and Obukhov as a notable text that uses Cartan calculus in classical electrodynamics.
  • It is mentioned that Ryder's QFT text and Baez's text on Gauge Fields also utilize differential forms, but they may lack the depth of applications and calculations found in Jackson's work.
  • A participant expresses a preference for exploring electromagnetic fields from a topological perspective rather than focusing on calculations.

Areas of Agreement / Disagreement

Participants have varying perspectives on the availability and suitability of texts that meet the initial inquiry, indicating that multiple competing views remain regarding the best resources for studying electromagnetic fields through differential forms.

Contextual Notes

Some participants note that while certain texts may use differential forms, they may not provide the same level of practical applications as Jackson's work, highlighting a potential limitation in the scope of available resources.

Who May Find This Useful

This discussion may be of interest to advanced students and researchers in physics, particularly those focused on theoretical approaches to electromagnetism and those with a background in differential forms and algebraic topology.

NeroKid
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Hey guys, I am wondering whether there is any book out there that approaches EM field using differential form and on the same or more advanced than Jackson, I have a solid knowledge of differential form and algebraic topology, thanks :D
 
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The only book that uses Cartan calculus in classical electrodynamics is

F. W. Hehl, Y. N. Obukhov, Foundations of classical electrodynamics, Birkhäuser, Boston (2003)
 
Ryder's QFT text and Baez' text on Gauge Fields (and pretty much any covariant classical field theory text) but you won't be seeing nearly as many applications or in-depth calculations as in Jackson (for obvious reasons-the Cartan calculus while elegant is not very pragmatic for practical EM problems).
 
yeah but I want to look at EM field in a topological point of view rather than caculate it :D
 

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