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We study the dispersive behaviors of two-particles Schr\"odinger and waveequations in the Aharonov-Bohm field. In particular, we prove the Strichartzestimates for Schr\"odinger and wave equations in this setting. The key pointis to construct spectral measure of Schr\"odinger operator with anAharonov-Bohm type potential in $\R^4$. As applications, we finally prove ascattering theory for the nonlinear defocusing subcritical two-particlesSchr\"odinger equation with Aharonov-Bohm potential.

Dispersive estimates for two-particles Schr\"odinger and wave equations in the Aharonov-Bohm field