equations:maxwell_equations
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equations:maxwell_equations [2018/05/05 11:52] jakobadmin ↷ Links adapted because of a move operation |
equations:maxwell_equations [2021/05/30 18:33] edi [Concrete] |
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| ====== Maxwell Equations ====== | ====== Maxwell Equations ====== | ||
| - | //see also [[models:classical_electrodynamics|Classical Electrodynamics]] and [[models:standard_model:quantum_electrodynamics|Quantum Electrodynamics]]// | + | //see also [[models:classical_electrodynamics|Classical Electrodynamics]] and [[models:standard_model:qed|Quantum Electrodynamics]]// |
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| - | The static limit of Maxwell's equations is known as [[equations:coulombs_law|Coulomb's law]]. | + | The static limit of Maxwell's equations is known as [[formulas:coulombs_law|Coulomb's law]]. |
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| + | ---- | ||
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| + | **Graphical Summary** | ||
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| + | The diagram below shows the free Maxwell equations and its Lagrangian in various forms ($m=0$). For a more detailed explanation see [[https://esackinger.wordpress.com/|Fun with Symmetry]]. | ||
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| + | {{:equations:proca_maxwell.jpg?nolink}} | ||
| <tabbox Abstract> | <tabbox Abstract> | ||
| The Maxwell equation can be written more compactly with the help of the field strength tensor and its dual | The Maxwell equation can be written more compactly with the help of the field strength tensor and its dual | ||
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| When in the 19th century people tried to understand how electromagnetism works they also figured this out. However, they made also another intriguing discovery. When writing down the laws which govern electromagnetism, it turns out that electric and magnetic fields are intimately linked, and that they are just two sides of the same coin. That is the reason to call it electromagnetism. | When in the 19th century people tried to understand how electromagnetism works they also figured this out. However, they made also another intriguing discovery. When writing down the laws which govern electromagnetism, it turns out that electric and magnetic fields are intimately linked, and that they are just two sides of the same coin. That is the reason to call it electromagnetism. | ||
| - | //In the early 20th century it then became clear that both phenomena can be associated with a single particle, the photon. But then it was found that to characterize a photon only two numbers at each point in space and time are necessary. This implies that between the six numbers characterizing electric and magnetic fields relations exist. These are known as [[equations:maxwell_equations|Maxwell equations]]// in classical physics, or as quantum Maxwell dynamics in the quantum theory. If you would add, e. g., electrons to this theory, you would end up with [[models:standard_model:quantum_electrodynamics|quantum electro dynamics - QED]]. | + | //In the early 20th century it then became clear that both phenomena can be associated with a single particle, the photon. But then it was found that to characterize a photon only two numbers at each point in space and time are necessary. This implies that between the six numbers characterizing electric and magnetic fields relations exist. These are known as [[equations:maxwell_equations|Maxwell equations]]// in classical physics, or as quantum Maxwell dynamics in the quantum theory. If you would add, e. g., electrons to this theory, you would end up with [[models:standard_model:qed|quantum electro dynamics - QED]]. |
| <cite>http://axelmaas.blogspot.de/2010/10/electromagnetism-photons-and-symmetry.html</cite></blockquote> | <cite>http://axelmaas.blogspot.de/2010/10/electromagnetism-photons-and-symmetry.html</cite></blockquote> | ||
equations/maxwell_equations.txt · Last modified: 2023/04/02 03:14 by edi
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