Correspondence between classical dynamics and energy level spacing distribution in the transition billiard systems

Nonlinear Sciences – Chaotic Dynamics

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

7 pages, 5 figures

Scientific paper

The Robnik billiard is investigated in detail both classically and quantally in the transition range from integrable to almost chaotic system. We find out that a remarkable correspondence between characteristic features of classical dynamics, especially topological structure of integrable regions in the Poincar\'{e} surface of section, and the statistics of energy level spacings appears with a system parameter $\lambda$ being varied. It is shown that the variance of the level spacing distribution changes its behavior at every particular values of $\lambda$ in such a way that classical dynamics changes its topological structure in the Poincar\'{e} surface of section, while the skewness and the excess of the level spacings seem to be closely relevant to the interface structure between integrable region and chaotic sea rather than inner structure of intergrable regoin.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Correspondence between classical dynamics and energy level spacing distribution in the transition billiard systems 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 Correspondence between classical dynamics and energy level spacing distribution in the transition billiard systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Correspondence between classical dynamics and energy level spacing distribution in the transition billiard systems will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-191195

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.