Regensburg 2004 – scientific programme
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DY: Dynamik und Statistische Physik
DY 50: Entanglement and Decoherence
DY 50.4: Talk
Friday, March 12, 2004, 11:15–11:30, H2
Semiclassical form factor for spectral and matrix element fluctuations — •Marko Turek1, Dominique Spehner2, Sebastian Müller2, and Klaus Richter1 — 1Institut für theoretische Physik, Universität Regensburg, D-93040 Regensburg — 2Fachbereich Physik, Universität Duisburg-Essen, D-45117 Essen
We present a semiclassical analysis of the spectral form factor in
hyperbolic chaotic systems that includes classical action correlations. Our
calculation is based on recent developments [1] which extend the original
configuration space approach [2] towards a phase space approach but are
still restricted to two-dimensional systems. Here we present a calculation
of the spectral form factor for systems with more than two degrees of
freedom showing that the leading contributions do not depend on the
dimensionality of the system. Furthermore we consider a generalization
towards a form factor for matrix element fluctuations.
[1] D. Spehner, J. Phys. A: Math. Gen. 36, 7269 (2003); M. Turek
and K. Richter, J. Phys. A: Math. Gen. 36, L455 (2003);
S. Müller, Eur. Phys. Jour. B 34, 305 (2003)
[2] M. Sieber and K. Richter, Physica Scripta T90, 128 (2001)