  We study the dispersive behaviors of two-particles Schr\"odinger and wave
equations in the Aharonov-Bohm field. In particular, we prove the Strichartz
estimates for Schr\"odinger and wave equations in this setting. The key point
is to construct spectral measure of Schr\"odinger operator with an
Aharonov-Bohm type potential in $\R^4$. As applications, we finally prove a
scattering theory for the nonlinear defocusing subcritical two-particles
Schr\"odinger equation with Aharonov-Bohm potential.
