QUANTUM SPECTRA AND TRANSITION FROM REGULAR TO CHAOTIC
SELIGMAN TH, VERBAARSCHOT JJM, ZIRNBAUER MR PHYSICAL REVIEW LETTERS
53: (3) 215-217 1984
Document type: Article
We study a system with two degrees of freedom that undergoes a transition
from regular motion to chaotic motion. We find that the correlations
of the quantum levels are given by the Poisson ensemble in the integrable
case and by the Wigner-Dyson ensemble in the completely chaotic case.
Inbetween we observe a continous transition between these two limits.
KeyWords Plus: QUANTUM CHAOS, SPECTRAL CORRELATIONS, RANDOM MATRIX THEORY