Rectangular billiard in the presence of a flux line

Abstract

We analyze the quantum spectrum of a rectangular billiard coupled to flux line. The nearest neighbor spacing distribution shows a transition from Poisson to almost Wigner distribution as the flux parameter is varied even though classically the system remains pseudointegrable and nonchaotic. In fact, the level statistics do not display any generic behavior. The calculations presented here are simple and avoid the complexity involved in modeling the singular quantum billiard problem.