This may be extended to collisional systems by appending to the right hand side an approximation  to the collisional partial time derivative of the function in question. This simple-looking statement is nec-essary to fully characterize the dynamics of the -space, where the interaction potential cannot be properly  defined. This equation may be extended to non-Hamiltonian systems by considering the phase space volume  element varies with time as the exponential of the negative of a metric factor. The derivitave involved in  this theorem can best be understood as the Stokes total time derivative in a phase space. For ten points,  name the theorem that conventionally states that Hamiltonian dynamics preserve measure, a
This may be extended to collisional systems by appending to the right hand side an approximation  to the collisional partial time derivative of the function in question. This simple-looking statement is nec-essary to fully characterize the dynamics of the -space, where the interaction potential cannot be properly  defined. This equation may be extended to non-Hamiltonian systems by considering the phase space volume  element varies with time as the exponential of the negative of a metric factor. The derivitave involved in  this theorem can best be understood as the Stokes total time derivative in a phase space. For ten points,  name the theorem that conventionally states that Hamiltonian dynamics preserve measure, and that is often  given as "the total time derivative of eff with respect to tee is zero."
This may be extended to collisional systems by appending to the right hand side an approximation  to the collisional partial time derivative of the function in question.
Liouville’s theorem or equation