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Math Help - Composition

  1. #1
    Junior Member
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    Question Composition

    The phase flow is the one-parameter group of transformations of phase space

    {\bf{p}}(0),{\bf{q}}(0))\longmapsto({\bf{p}}(t),{\ bf{q}}(t)) " alt="g^t{\bf{p}}(0),{\bf{q}}(0))\longmapsto({\bf{p}}(t),{\ bf{q}}(t)) " />,

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

    Show that \{g^t\} is a group.


    Can anyone help me prove the composition?

    g^t\circ g^s=g^{t+s}
    Last edited by Opalg; March 28th 2010 at 09:44 AM. Reason: fixed LaTeX
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