Free wave equation: Difference between revisions
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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.
