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models:classical_electrodynamics [2018/05/12 09:16]
jakobadmin [Concrete]
models:classical_electrodynamics [2019/07/01 09:20] (current)
129.13.36.189 [Research]
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 <tabbox Intuitive> ​ <tabbox Intuitive> ​
  
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 +It is a model in the framework of [[theories:​classical_field_theory|classical field theory]]. ​
  
 <​blockquote>​Fields in physics are something which associate with each point in space and with each instance in time a quantity. In case of electromagnetism this is a quantity describing the electric and magnetic properties at this point. Each of these two properties turn out to have a strength and a direction. Thus the electric and magnetic fields associate with each point in space and time an electric and a magnetic magnitude and a direction. For a magnetic field this is well known from daily experience. Go around with a compass. As you move, the magnetic needle will arrange itself in response to the geomagnetic field. Thus, this demonstrates that there is a direction involved with magnetism. That there is also a strength involved you can see when moving two magnets closer and closer together. How much they pull at each other depends on where they are relative to each other. Thus there is also a magnitude associated with each point. The same actually applies to electric fields, but this is not as directly testable with common elements. Ok, so it is now clear that electric and magnetic fields have a direction and a magnitude. Thus, at each point in space and time six numbers are needed to describe them: two magnitudes and two angles each to determine a direction. <​blockquote>​Fields in physics are something which associate with each point in space and with each instance in time a quantity. In case of electromagnetism this is a quantity describing the electric and magnetic properties at this point. Each of these two properties turn out to have a strength and a direction. Thus the electric and magnetic fields associate with each point in space and time an electric and a magnetic magnitude and a direction. For a magnetic field this is well known from daily experience. Go around with a compass. As you move, the magnetic needle will arrange itself in response to the geomagnetic field. Thus, this demonstrates that there is a direction involved with magnetism. That there is also a strength involved you can see when moving two magnets closer and closer together. How much they pull at each other depends on where they are relative to each other. Thus there is also a magnitude associated with each point. The same actually applies to electric fields, but this is not as directly testable with common elements. Ok, so it is now clear that electric and magnetic fields have a direction and a magnitude. Thus, at each point in space and time six numbers are needed to describe them: two magnitudes and two angles each to determine a direction.
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-Classical electrodynamics describes the interplay of light and charged objects via the [[equations:​maxwell_equations|Maxwell equations]]the static limit known as [[equations:​coulombs_law|Coulomb force law]] and additionally the [[equations:​lorentz_force_law]],​+Classical electrodynamics describes the interplay of light and charged objects via the [[equations:​maxwell_equations|Maxwell equations]] ​(the static limit is known as [[formulas:​coulombs_law|Coulomb force law]]and additionally the [[formulas:​lorentz_force_law]],​
  
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 This is known as premetric approach and is described in detail in the book  "​Foundations of Classical Electrodynamics:​ Charge, Flux, and Metric"​ by F. W. Hehl and Yu. N. Obukhov. ​ This is known as premetric approach and is described in detail in the book  "​Foundations of Classical Electrodynamics:​ Charge, Flux, and Metric"​ by F. W. Hehl and Yu. N. Obukhov. ​
  
-In addition, the electrodynamics and especially the Maxwell equations are modified if [[models:​speculative_models:​axion|axions]] exist. This is known as [[https://​inspirehep.net/​record/​1337434/​files/​26-Kuriksha.pdf|axion electrodynamics]] and was first noted in  F. Wilczek, Phys. Rev. Lett. 58, 1799 (1987).+In addition, the electrodynamics and especially the Maxwell equations are modified if [[models:​speculative_models:​axion|axions]] exist. This is known as [[https://​inspirehep.net/​record/​1337434/​files/​26-Kuriksha.pdf|axion electrodynamics]] and was first noted in  F. Wilczek, Phys. Rev. Lett. 58, 1799 (1987). The main idea here is that if the theta parameter can change in space and time $\theta=\theta(x,​t)$,​ the term $\theta F \tilde F$ directly influences the equations of motion. This is discussed explicitly in Section 1.2 "The Theta Term" in [[http://​www.damtp.cam.ac.uk/​user/​tong/​gaugetheory/​gt.pdf|Tong'​s lectures on gauge theory]].
  
 The Maxwell equations in the presence of axions read The Maxwell equations in the presence of axions read
models/classical_electrodynamics.1526109397.txt.gz · Last modified: 2018/05/12 07:16 (external edit)