Distribution of Husimi zeros in polygonal billiards

The zeros of the Husimi function provide a minimal description of individua l quantum eigenstates and their distribution is of considerable interest. W k provide here a numerical study for pseudointegrable billiards which : sug gests' that the zeros tend to diffuse over phase space in a. manner reminis cent of chaotic systems but nevertheless contain a subtle signature of pseu dointegrability. We also find that the zeros depend sensitively on the posi tion and momentum uncertainties (Delta q and Delta p, respectively) with th e classical correspondence best when Delta q = Delta p = root (h) over bar/ 2. Finally, short-range correlations seem to be well described by the Ginib re ensemble of complex matrices. [S1063-651X(99)03507-2].