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> | ||
Revision as of 05:03, 4 August 2006
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.
