Distribution of Husimi Zeroes in Polygonal Billiards

Details Distribution of Husimi Zeroes in Polygonal Billiards Distribution of Husimi Zeroes in Polygonal Billiards

1999-04-26

arxiv.org/abs/chao-dyn/9904047v1

Phys. Rev. E 60 (1999) 408

Nonlinear Sciences

Chaotic Dynamics

includes 13 ps figures; Phys. Rev. E (in press)

Scientific paper

10.1103/PhysRevE.60.408

The zeroes of the Husimi function provide a minimal description of individual quantum eigenstates and their distribution is of considerable interest. We provide here a numerical study for pseudo- integrable billiards which suggests that the zeroes tend to diffuse over phase space in a manner reminiscent of chaotic systems but nevertheless contain a subtle signature of pseudo-integrability. We also find that the zeroes depend sensitively on the position and momentum uncertainties with the classical correspondence best when the position and momentum uncertainties are equal. Finally, short range correlations seem to be well described by the Ginibre ensemble of complex matrices.

Affiliated with

Also associated with

No associations

Rating

Distribution of Husimi Zeroes in Polygonal Billiards does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Distribution of Husimi Zeroes in Polygonal Billiards, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Distribution of Husimi Zeroes in Polygonal Billiards will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-54064