Classical solutions of an electron in magnetized wedge billiards

We have studied the classical solutions of a free electron constrained to move inside a circular wedge of angle theta(w), in the presence of a homogeneous constant magnetic field B. These billiards have broken rotational symmetry. As B and theta(w) are varied, the apex of the billiards affects the classical dynamics in an important way. We find that for billiards with angles (sqrt[5]-1)/2< or =theta(w)< or =pi/2, the dynamics exhibits a reentrant transition as the field increases. The transition is from regular-to-mixed-to-chaotic-to-mixed-to-chaotic regimes. The reentrance is connected to the appearance and disappearance of periodic orbits nucleated at the boundaries of these billiards as the field increases. There is no reentrance when theta(w)>pi/2. In the latter case as B increases the dynamics goes from quasiintegrable, to intermediate and then to chaotic whispering gallery Larmor modes.