Why Choose Liouville Representation Over Hamiltonian in Classical Mechanics?

[Vagant]

Hi All,

I am interested what are the advantages, in general, of using Liouville representation instead of Hamiltonian representation and for what kind of problems such advantages are valid?

 

[C*-algebras]

prob. density over phase space therefore introduced which has a quantum counterpart called Wigner function. A classical-quantum correpondence can be expressed in this way by homogenization limit. Often used in quantum optics/dynamics, the trajectory/particle method...