Does the Klein-Gordon Lagrange Density Determine the Solution of the Equation?

[jimmy.neutron]

Does the Klein-Gordon Lagrange density maximize or minimise the solution of the Klein-Gordon equation?

 

[olgranpappy]

Does the Klein-Gordon Lagrange density maximize or minimise the solution of the Klein-Gordon equation?

This doesn't make sense. Are you asking whether the solution of the Klein-Gordon equation maximizes or minimizes the Klein-Gordon action?

 

[jimmy.neutron]

Ah yes that's what I meant to ask, I have a foreign lecturer and he's not always that clear with his questions.

Thanks

 

[olgranpappy]

Then if that's what you want to know you have to examine the 2nd (functional) derivative of the action with respect to the fields.