- #1
Nusc
- 760
- 2
Homework Statement
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]