Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

A question of phase density

  1. Jul 23, 2008 #1
    In the classical mechanics each system can be described by the phase density [tex]\rho(x,t)[/tex]
    , which is evolved by Liouville's equation.
    Recently I read a paper: http://www.sciencedirect.com/scienc...6104324&md5=d41e737ddc2514dbbeca4a99047e66f7"(Y, Gu, PLA, 149, 95 (1990)). In it, it says that

    [tex]\int\rho(x,t)^{2} dx [/tex] is constant in time.
    But, as far as I know, due to the conservation of particles, [tex]\int\rho(x,t) dx [/tex]
    is constant in time.
    I don’t know how he got the conclusion?
    Last edited by a moderator: Apr 23, 2017
  2. jcsd
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?