Distribution of zeros of the Husimi function in a realistic Hamiltonian molecular system

In this payer we numerically check the validity of a theory on the distribution of zeros of the Husimi function due to Leboeuf and Voros [J. Phys. A 23, 1765 (1990)] for the integrability or chaoticity of a dynamical system in conditions which are not covered in the original proof. Our results for a generic Hamiltonian model for the LiCN molecule indicate also that in this case the conclusions of these authors hold. We have also found that this criterion is related to that proposed by Stratt, Handy and Miller based on the nodal complexity or the wave function [J. Chem, Phys. 71, 9911 (1979)]. Also, for scarred states there is a relation between the positions of the zeros and the fixed points of the Poincare map corresponding to the scarring periodic orbit, which is the main result of the paper.