Energy-level statistics of integrable quantum systems Academic Article uri icon


  • E~= &yg pg= orrt+ rt for n= 7r/3 and for consecutive sequences of 104 lev-els. Figure 1 shows the Xz deviation from the Poisson distribution, for the first ten bins of size D/100 (D is the mean spacing). The dashed line is a smoothed version which could be regarded as an estimate of (Xz). ForN & 2.5 X106,(Xz) falls below 16, which represents a 10% confidence level.(If more than ten bins had been taken, the decay of the deviations would

publication date

  • December 2, 1985