12,071 research outputs found
The inverse spectral transform for the conservative Camassa-Holm flow with decaying initial data
We establish the inverse spectral transform for the conservative Camassa-Holm
flow with decaying initial data. In particular, it is employed to prove
existence of weak solutions for the corresponding Cauchy problem.Comment: 27 page
On the connection between the Hilger and Radon--Nikodym derivatives
We show that the Hilger derivative on time scales is a special case of the
Radon--Nikodym derivative with respect to the natural measure associated with
every time scale. Moreover, we show that the concept of delta absolute
continuity agrees with the one from measure theory in this context.Comment: 7 page
Correlations and fluctuations of matrix elements and cross sections
The fluctuations and correlations of matrix elements of cross sections are
investigated in open systems that are chaotic in the classical limit. The form
of the correlation functions is discussed within a statistical analysis and
tested in calculations for a damped quantum kicked rotator. We briefly comment
on the modifications expected for systems with slowly decaying correlations, a
typical feature in mixed phase spaces.Comment: 7 pages, 7 figure
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