  We clarify that an ideal gas obeying infinite statistics cannot undergo
condensation. Then we derive the dynamic equation for an identical particle
system obeying infinite statistics under external potential and inter-particle
interaction. The derivation utilizes the Hamiltonian written in terms of the
number operators and the transition number operators. At a very low
temperature, where one can discard the dynamics of the excited occupation
level, the dynamic of an infinite statistics system can be described by the
Gross Pitaevskii equation, similar to the Bose-Einstein case.
