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Homework Help: Transformations of phase space

  1. Mar 26, 2010 #1
    1. The problem statement, all variables and given/known data
    The phase flow is the one-parameter group of transformations of phase space

    [tex]g^t:({\bf{p}(0),{\bf{q}(0))\longmapsto({\bf{p}(t),{\bf{q}(t)) [/tex],

    where [tex]{\bf{p}(t)[/tex] and [tex]{\bf{q}}(t)[/tex] are solutions of the Hamilton's system of equations corresponding to initial condition [tex]{\bf{p}}(0) [/tex]and [tex]{\bf{q}}(0)[/tex].

    Show that [tex]\{g^t\}[/tex] is a group.

    Can anyone help me prove the composition?

    [tex]g^t\circ g^s=g^{t+s}[/tex]

    2. Relevant equations

    3. The attempt at a solution
  2. jcsd
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