title: First experimental test of a trace formula for billiard systems showing mixed dynamics.
abstract: 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.
authors.affiliation: Institut für Kernphysik, Technische Universität Darmstadt, D-64289 Darmstadt, Germany.
authors.forename: C
authors.initials: C
authors.lastname: Dembowski
authors.forename: H D
authors.initials: HD
authors.lastname: Gräf
authors.forename: A
authors.initials: A
authors.lastname: Heine
authors.forename: T
authors.initials: T
authors.lastname: Hesse
authors.forename: H
authors.initials: H
authors.lastname: Rehfeld
authors.forename: A
authors.initials: A
authors.lastname: Richter