  We study the mean-field dynamics of p-wave Feshbach molecule production in an
ultra cold gas of Fermi atoms in the same internal state. We derive a separable
potential to describe the low-energy scattering properties of such atoms, and
use this potential to solve the mean-field dynamics during a magnetic field
sweep. Initially, on the negative scattering length side of a Feshbach
resonance the gas is described by the BCS theory. We adapt the method by
Szyma\'{n}ska et al. [Phys. Rev. Lett. 94, 170402 (2005)] to p-wave interacting
Fermi gases and model the conversion dynamics of the gas into a Bose-Einstein
condensate of molecules on the other side of the resonance under the influence
of a linearly varying magnetic field. We have analyzed the dependence of the
molecule production efficiency on the density of the gas, temperature, initial
value of the magnetic field, and magnetic field ramp speed. Our results show
that in this approximation molecule production by a linear magnetic field sweep
is highly dependent on the initial state.
