1.189   1.904   3.175   5.58    9.225   13.123   18.349   23.256   30.03
   \[-1.0ex\]                                                                                     
                1.41     1.2    0.859   0.57    0.332   0.194   0.11    0.078    0.057    0.045    0.035
   \[-1.0ex\]                                                                                     
  ------------ ------- ------- ------- ------- ------- ------- ------- -------- -------- -------- -------

\[scaling\]

In order to verify the scaling law, we first choose a symmetric potential ($\rho=\kappa=50$) and study the interference structures for CSs with different weighting distributions. More precisely, we vary the parameter $\beta$ from $0.8$ to $0.3$, which corresponds to change the position of the peak of the energy distribution from $n=32$ to $n=2$. The classical action progressively decreases for decreasing CS mean energy, while at the same time the size of the sub-Planck interference structure becomes larger. This behavior is quantitatively confirmed by Table I, where the first row gives the total phase space area measured form the uncertainty product, while the second row shows the area of the structures measured from the Wigner plots. These data are plotted in the $log_e$-$log_e$ plot of Fig. \[loglog\], where they are well fitted by a straight line of slope $-1.02$. This latter plot clearly confirms the expected scaling $a\sim 1/A$ with a very good approximation, confirming also that the interference pattern has sub-Planck dimensions.

We have then 