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- Thread starter ted1986
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In summary, the conversation includes a request for help with a problem and a solution that has been attempted but is not successful. There is also a suggestion to redo the solution in more detail and a private message exchange regarding potential familiarity between the speakers.

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- #2

grey_earl

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For the next step, derive your EOM once and calculate ( θ η^{μν} - ε^{μνα} ∂_α ) J_ν using your EOM and the derived version, which should give you the left side.

- #3

ted1986

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Thanks! I'll try it...

Do I know you from somewhere ? ;-)

Do I know you from somewhere ? ;-)

- #4

grey_earl

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- #5

paranormal

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Hello TED,

I understand your frustration with this problem. Electrodynamics in two space dimensions can be challenging to wrap your head around, but don't worry, I'm here to help.

Firstly, your solution looks correct so far. However, I noticed that you forgot to include the factor of 1/2 in your final equations for E and B. This is an important factor to include in two-dimensional problems.

Additionally, I would suggest checking your calculations for the electric and magnetic fields at the origin (x=0, y=0). This point is not included in your solution and it is important to check for consistency.

If you are still stuck, I would recommend breaking down the problem into smaller steps and carefully considering the equations for two-dimensional electrodynamics. Also, don't hesitate to reach out for further assistance.

Good luck!

Electrodynamics in two space dimensions is a branch of physics that deals with the behavior and interactions of electric and magnetic fields in a two-dimensional space. It is a simplified version of classical electrodynamics, which studies these fields in three-dimensional space.

The fundamental equations of electrodynamics in two space dimensions are the two-dimensional versions of Maxwell's equations. These include Gauss's law for electric fields, Gauss's law for magnetic fields, Faraday's law of induction, and Ampere's law with Maxwell's correction.

Electrodynamics in two space dimensions has various applications in fields such as condensed matter physics, quantum field theory, and cosmology. It helps in understanding the behavior of electrons in two-dimensional materials, the properties of particle interactions in two-dimensional systems, and the behavior of electromagnetic fields in the early universe.

Studying electrodynamics in two space dimensions helps in understanding the behavior of physical systems in a simplified and more manageable way. It also provides insights into the behavior of fields and particles in lower-dimensional spaces, which can have unique properties and behaviors compared to higher-dimensional spaces.

One of the main challenges in studying electrodynamics in two space dimensions is the lack of experimental verification, as it is difficult to create and observe two-dimensional systems in a laboratory. Theoretical calculations and simulations are often used to study such systems, but they may not fully capture the complexities of real-world systems.

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