"Classical field theory and classical mechanics"의 두 판 사이의 차이

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3번째 줄: 3번째 줄:
 
* can be formulated using classical fields and lagrangian density
 
* can be formulated using classical fields and lagrangian density
 
* change the coordinates and fields accordingly
 
* change the coordinates and fields accordingly
* require the invariance of action integral in
+
* require the invariance of action integral over arbitrary region
 
 
 
 
 
 
 
 
  
 
 
 
 
59번째 줄: 55번째 줄:
 
* http://en.wikipedia.org/wiki/Continuity_equation
 
* http://en.wikipedia.org/wiki/Continuity_equation
 
* http://en.wikipedia.org/wiki/current_density
 
* http://en.wikipedia.org/wiki/current_density
 +
* [http://en.wikipedia.org/wiki/Noether%27s_theorem http://en.wikipedia.org/wiki/Noether's_theorem]
 
* http://en.wikipedia.org/wiki/
 
* http://en.wikipedia.org/wiki/
 
* http://en.wikipedia.org/wiki/
 
* http://en.wikipedia.org/wiki/

2010년 3월 3일 (수) 17:17 판

introduction
  • can be formulated using classical fields and lagrangian density
  • change the coordinates and fields accordingly
  • require the invariance of action integral over arbitrary region

 

 

Euler-Lagrange equation
  • if field satisfies the equation of motion, EL is satisfied

 

 

equation of continuity
  • current density
     

 

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