1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Distributive of the classical Liouville operator

  1. Oct 22, 2009 #1
    I'm trying to derive fokker-planck equations using the Liouville operator for classical systems. part of it relies on a property i've seen in many places, that applying the Liouville operator [tex]e^{Lt}[/tex] to a product of two functions [tex]A(\textbf{X})B(\textbf{X})[/tex] is the same as applying the Liouville operator to both of them individually, i.e.:

    [tex] e^{Lt}(A(\textbf{X})\cdot B(\textbf{X})) = (e^{Lt}A(\textbf{X}))\cdot (e^{Lt}B(\textbf{X}))[/tex]

    this seems to make sense physically but does anyone know a proof? it seems to be referenced everywhere.
  2. jcsd
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted