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 dis tribution of zeros of the Husimi function due to Leboeuf and Voros [J. Phys. A 23, 1765 (1990)] for the integrability or chaoticity of a dyn amical system in conditions which are not covered in the original proo f. Our results for a generic Hamiltonian model for the LiCN molecule i ndicate 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 fun ction [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 tile scarring periodic orbit, wh ich is the main result of the paper.