First Experimental Test of a Trace Formula for Billiard Systems Showing Mixed Dynamics
C. DembowskiInstitut für Kernphysik, Technische Universität Darmstadt, D-64289 Darmstadt, GermanyH.-D. GräfInstitut für Kernphysik, Technische Universität Darmstadt, D-64289 Darmstadt, GermanyA. HeineInstitut für Kernphysik, Technische Universität Darmstadt, D-64289 Darmstadt, GermanyT. HesseAbteilung Theoretische Physik, Universität Ulm, D-89069 Ulm, GermanyH. RehfeldInstitut für Kernphysik, Technische Universität Darmstadt, D-64289 Darmstadt, GermanyA. RichterInstitut für Kernphysik, Technische Universität Darmstadt, D-64289 Darmstadt, Germany
2001en
ABI
Аннотация
In general, trace formulas relate the density of states for a given quantum mechanical system to the properties of the periodic orbits of its classical counterpart. Here we report for the first time on a semiclassical description of microwave spectra taken from superconducting billiards of the Limaçon family showing mixed dynamics in terms of a generalized trace formula derived by Ullmo et al. [Phys. Rev. E 54, 136 (1996)]. This expression not only describes mixed-typed behavior but also the limiting cases of fully regular and fully chaotic systems and thus presents a continuous interpolation between the Berry-Tabor and Gutzwiller formulas.
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