ISSN:
1573-9333
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
,
Physics
Notes:
Abstract Quantum mechanical systems with Hamiltonians varying periodically in time are considered. It is assumed that the spectrum of the Floquet operator has no absolutely continuous part and spacings between quasi-energies may be statistically described by means of a continuous density. It is shown that the induced statistical density of spacings between fractional parts of the quasi-energies defined with respect tomod (ħw), suitably normalized, approaches arbitrarily close to an exponential distribution when the number of levels is infinitely increased. This result does not depend on the original distribution. An alternate method of statistically describing fractional parts is proposed which makes it possible to distinguish between the original quasi-energy distribution laws for regular and chaotic regimes.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02070246
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