  Motivated by the recent experiment of p-wave interacting $^{40}\mathrm{K}$
atom gases in a deep optical lattice, we investigated the Rabi oscillation for
any partial wave interacting quantum gases in a deep optical lattice. We first
review the solution for two particles interacting by any partial wave in a
harmonic trap by using pseudopotential. We generalize the model used in recent
work to any partial wave cases, repeated some of the theoretic and experiment
results for p-wave interacting $^{40}\mathrm{K}$ atoms in a deep optical
lattice and show the results for the d-wave case. Our results may be useful for
future experiments and may stimulate further theoretic investigation.
