# Which systems satisfy Hamiltons principle

## Main Question or Discussion Point

I have had similar questions posted, but I am not quite sure on this one and it seems that my textbooks have trouble agreeing completely aswell.

As far as I understand it:

Hamiltons principle:

δI = δ∫Ldt = 0

is only satisfied for systems, where the generalized forces can be put in a form such that the equation:

d/dt($\partial$L/$\partial$q') - $\partial$L/$\partial$q = 0

is satisfied. I have seen that this can be done for electromagnetic systems and system in which the force can be written as the gradient of a potential with respect to the position coordinates.

My question is: Are all the fundamental forces observed in nature in a form like this? And is that then the deep content in Hamiltons principle?

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Simon Bridge