Difference between revisions of "Free wave equation"

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The '''free wave equation''' on <math>R^{1+d}</math> is given by
 
The '''free wave equation''' on <math>R^{1+d}</math> is given by
 
<center><math>\Box f = 0</math></center>
 
<center><math>\Box f = 0</math></center>
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One can add a mass term to create the [[Klein-Gordon equation]].
 
One can add a mass term to create the [[Klein-Gordon equation]].
  
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[[Category:Wave]]
 
[[Category:Wave]]
 
[[Category:Equations]]
 
[[Category:Equations]]

Revision as of 22:14, 3 September 2007

The free wave equation on is given by

where f is a scalar or vector field on Minkowski space . In coordinates, this becomes

It is the prototype for many nonlinear wave equations.

One can add a mass term to create the Klein-Gordon equation.