First experimental test of a trace formula for billiard systems showing mixed dynamics.
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.
Dembowski
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Institut für Kernphysik, Technische Universität Darmstadt, D-64289 Darmstadt, Germany.
Gräf
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Heine
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Hesse
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Rehfeld
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Richter
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