  We estimate exclusive density and asymmetry parameter dependent dispersion
relations of various charged states of pions in asymmetric nuclear matter. The
possibility of matter induced mixing of $\pi^0$ with $\eta$ is clearly exposed
with the further mass modification of $\pi^0$ meson due to mixing. Asymmetry
driven mass splitting and mixing amplitude are of the same order as the
corresponding values in vacuum. Closed form analytic results for the mass
shifts and dispersion relations with and without mixing are presented.
Furthermore, we discuss the sensitivity of our results on the scalar mean field
within the framework of Quantum Hadrodynamics.
