Singular continuous spectra in a pseudointegrable billiard
The pseudointegrable barrier billiard invented by Hannay and McCraw [J. Phys. A 23, 887 (1990)], a rectangular billiard with line-segment barrier placed on a symmetry axis, is generalized. It is demonstrated that the Fourier spectrum of a typical function on the phase space exhibits a singular continuous component.
Wiersig
J
Max-Planck-Institut fur Physik komplexer Systeme, D-01187 Dresden, Germany.