Determining the Action of the Electromagnetic Field - Examples

AI Thread Summary
The discussion centers on the challenge of applying the theoretical concepts from Landau's Volume 2 regarding the electromagnetic Lagrangian to practical numerical examples. Participants express frustration over the lack of explicit examples in existing literature, particularly concerning the term \tfrac{1}{16 \pi c} \smallint f_{ik}F^{ik} d \Omega. Suggestions for resources that bridge theoretical physics and practical calculations are sought, but no definitive references are provided. The conversation highlights a common gap between advanced theoretical frameworks and their practical applications in physics. Overall, the need for accessible examples in electromagnetic field theory remains a significant concern.
bolbteppa
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In Landau Volume 2 (page 71) an expression for determining the entire electromagnetic Lagrangian is given. What would be an explicit numerical examples of working this idea out along the lines Landau threads, or a good reference for finding these? I can't find anything despite looking in several books,& the whole thing just looks far too general & theoretical to me...
 
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Unfortunately it doesn't, no mention is made of how to use the crazy term \tfrac{1}{16 \pi c} \smallint f_{ik}F^{ik} d \Omega in an explicit baby-numerical example, for example, but it is interesting nonetheless.
 
Your probably looking for that famous book "How to do practical calculations based on your Advanced Theoretical Physics text". Good luck!
 
I can dream...

:cry:
 
It may be shown from the equations of electromagnetism, by James Clerk Maxwell in the 1860’s, that the speed of light in the vacuum of free space is related to electric permittivity (ϵ) and magnetic permeability (μ) by the equation: c=1/√( μ ϵ ) . This value is a constant for the vacuum of free space and is independent of the motion of the observer. It was this fact, in part, that led Albert Einstein to Special Relativity.
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