Powerlaw decay

Fig. 8.3. Powerlaw decay of the phase-space probability for the kicked hydrogen atom.

In order to corroborate the numerical results with analytical estimates of the onset of the Ericson regime we need estimates of the mean level density p — /D and the average resonance width F. The following analytical arguments are based on the assumption that subsets of classical phase space decay exponentially to the continuum. This assumption may not be true as indicated by the powerlaw results obtained in Chapter 8. Nevertheless, the argument is illustrative, and may be modified eventually to take the true decay mechanism of the hehum phase space into account. 

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