Aharonov-Bohm effect in scattering by point-like magnetic fields at large separation (Q5942819)

The authors consider the scattering by two \(\delta\)-like magnetic fields at large separation in two dimension and analyze the asymptotic behaviour of scattering amplitude when the distance between the centres of two fields goes to infinity. The aim is to study the Aharonov-Bohm effect in the scattering under this field configuration. The result heavily depends on the fluxes of the field and on incident and final directions. The authors prove self-adjointness, the absence of bound states, the principle of limiting absorption and the asymptotic completeness of wave operator for two \(\delta\)-like magnetic fields.