Lienard-Weichert derived from QED?

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In summary, the Lienard-Weichert equation is a mathematical expression derived from quantum electrodynamics (QED) that describes the electromagnetic radiation emitted by a moving point charge. It is related to QED and takes into account both relativity and quantum mechanics, making it a more comprehensive and accurate description of electromagnetic phenomena. The equation has practical applications in various fields and differs from classical electromagnetism in its ability to describe subatomic phenomena. Numerous experiments have confirmed its validity in QED.
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Can the classical electromagnetic force between two arbitrarily moving electrons, described by the Lienard-Wiechert EM fields and the Lorentz force law, be derived from a "simple" tree-level QED calculation?

Can anyone point to a paper where this has been done?
 
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I haven't seen derivations of retarded Lienard-Wiechert potentials from QED, but one can obtain the instantaneous Darwin-Breit potential. See section 83 in Berestetskii, Livshitz, Pitaevskii, "Quantum electrodynamics" and chapter 12 in arXiv:physics/0504062.

Eugene.
 
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1. What is the Lienard-Weichert equation derived from QED?

The Lienard-Weichert equation is a mathematical expression that describes the electromagnetic radiation emitted by a point charge in motion, as predicted by quantum electrodynamics (QED). It takes into account both the velocity and acceleration of the charge, as well as the distance and direction to an observer.

2. How does the Lienard-Weichert equation relate to QED?

The Lienard-Weichert equation is derived from the principles of quantum electrodynamics, which is a theory that explains the behavior of electromagnetic interactions at the quantum level. It takes into account the effects of both relativity and quantum mechanics, making it a more comprehensive and accurate description of electromagnetic phenomena.

3. What are the applications of the Lienard-Weichert equation derived from QED?

The Lienard-Weichert equation has many practical applications, including in the fields of antenna design, radar technology, and particle accelerators. It is also used in simulating the behavior of electromagnetic radiation in various materials, aiding in the development of new technologies such as photonic devices and quantum computers.

4. How is the Lienard-Weichert equation derived from QED different from classical electromagnetism?

The Lienard-Weichert equation takes into account the quantum nature of electromagnetism, while classical electromagnetism is based on classical physics principles. This means that the Lienard-Weichert equation can accurately describe phenomena at the subatomic level, while classical electromagnetism is limited to macroscopic scales.

5. Are there any experimental confirmations of the Lienard-Weichert equation derived from QED?

Yes, there have been numerous experiments that have confirmed the predictions of the Lienard-Weichert equation derived from QED. These include studies on electron-positron annihilation, the Lamb shift in hydrogen, and the anomalous magnetic moment of the electron. These experiments provide strong evidence for the validity of the Lienard-Weichert equation as a fundamental equation in QED.

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