Radiation & Non-Radiation Terms in Equation B for Moving Charged Particle

  • Context: Graduate 
  • Thread starter Thread starter f16842000
  • Start date Start date
  • Tags Tags
    Field Radiation Terms
Click For Summary
SUMMARY

The discussion focuses on the radiation and non-radiation terms in the equation B for a moving charged particle, emphasizing the importance of the stress-energy tensor and the Poynting vector in understanding energy flows. The stress-energy tensor, denoted as ##T^{ab}##, describes the distribution of energy, while the Poynting vector, represented as ##S^a = T^{ab} u_b##, indicates the flow of energy, with ##u_b## being the observer's 4-velocity. The discussion references the covariant formulation of classical electromagnetism for further insights but does not provide a method for separating the radiation component.

PREREQUISITES
  • Understanding of the stress-energy tensor in general relativity
  • Familiarity with the Poynting vector in electromagnetism
  • Knowledge of tensor notation and operations
  • Basic principles of classical electromagnetism
NEXT STEPS
  • Research the covariant formulation of classical electromagnetism
  • Study the derivation and applications of the stress-energy tensor
  • Explore methods for separating radiation from non-radiation terms in electromagnetic theory
  • Learn about the implications of 4-velocity in relativistic physics
USEFUL FOR

Physicists, electrical engineers, and students studying electromagnetism and general relativity who seek to deepen their understanding of energy flow in moving charged particles.

f16842000
Messages
1
Reaction score
0
What is the radiation and non-radiation terms in the equation B for a moving charged particle. How can I express the result in a tensor form?

Thanks!
v08YM.jpg
 

Attachments

  • v08YM.jpg
    v08YM.jpg
    58.7 KB · Views: 702
Physics news on Phys.org
Good question. If you want to know the energy flows, you can compute the stress-energy tensor and the Poynting vector as in https://en.wikipedia.org/w/index.ph...26693874#Electromagnetic_stress–energy_tensor

That will describe the distribution (stress-energy tensor ##T^{ab}##) or flow (Poynting vector , ##S^a = T^{ab} u_b##), ##u_b## being the 4-velocity of the observer ).

I don't know how to separate out the radiation part, alas.
 

Similar threads

  • · Replies 0 ·
Replies
0
Views
1K
  • · Replies 13 ·
Replies
13
Views
2K
  • · Replies 14 ·
Replies
14
Views
2K
  • · Replies 10 ·
Replies
10
Views
2K
Replies
9
Views
2K
  • · Replies 2 ·
Replies
2
Views
1K
Replies
7
Views
2K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 146 ·
5
Replies
146
Views
12K