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

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<h5>equation of continuity</h5>
 
<h5>equation of continuity</h5>
  
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*  current density<br>  <br>  <br>
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*  current density <math>J_{\mu}</math> satisfies<br><math>\partial^{\mu} J_{\mu}=0</math><br>
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*  conserved quantity<br><math>G:=\int_V J_0(x) \,d^3 x</math><br>  <br>
  
 
 
 
 
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<h5>related items</h5>
 
<h5>related items</h5>
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* [[Electromagnetics|Electromagnetism]]
  
 
 
 
 

2010년 3월 3일 (수) 17:36 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 \(J_{\mu}\) satisfies
    \(\partial^{\mu} J_{\mu}=0\)
  • conserved quantity
    \(G:=\int_V J_0(x) \,d^3 x\)
     

 

history

 

 

related items

 

 

books

 

 

encyclopedia

 

 

question and answers(Math Overflow)

 

 

blogs

 

 

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experts on the field

 

 

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