# 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.