Semiclassical approximations of Aharonov Bohm vector potentials

While a comprehensible analysis of the full quantum mechanical solutions for systems of charged particles propagating in the presence of classically inaccessible magnetic fields is often obstructed by their complicated form in semiclassical approximations distinct features of the dynamics collapse into discontinuities The aim of this talk is to disclose the physical origin of such discontinuities which is discussed by means of the example of the quantum propagator of two anyons