Nodal domains statistics - a criterion for quantum chaos

Details Nodal domains statistics - a criterion for quantum chaos Nodal domains statistics - a criterion for quantum chaos

2001-09-25

arxiv.org/abs/nlin/0109029v1

Nonlinear Sciences

Chaotic Dynamics

4 pages, 5 figures, revtex

Scientific paper

10.1103/PhysRevLett.88.114101

We consider the distribution of the (properly normalized) numbers of nodal domains of wave functions in 2-$d$ quantum billiards. We show that these distributions distinguish clearly between systems with integrable (separable) or chaotic underlying classical dynamics, and for each case the limiting distribution is universal (system independent). Thus, a new criterion for quantum chaos is provided by the statistics of the wave functions, which complements the well established criterion based on spectral statistics.

Affiliated with

Also associated with

No associations

Rating

Nodal domains statistics - a criterion for quantum chaos 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 Nodal domains statistics - a criterion for quantum chaos, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nodal domains statistics - a criterion for quantum chaos will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-516696