Hamiltonian one parameter groups

Marsden, J. E.

Arch. Rational Mech. Anal., 28, (1968), 362-396

Abstract:

Our purpose is to give an exposition of the foundations of non-linear conservative mechanical systems with an infinite number of degrees of freedom. Systems we have in mind are the vibrating string, the electromagnetic field and quantum mechanics. These are all linear. We also outline a non-linear example, the coupled Maxwell and Dirac fields. Perfect fluids will be discussed elsewhere.