Experimental Test of the Trace Formula by Balian and Duplantier

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Abstract

Trace formulas provide a direct relation between the eigenvalues of a given quantum system and the properties of the periodic orbits of its classical counterpart. About 25 years ago, Balian and Duplantier derived a trace formula for the resonance density of three-dimensional chaotic microwave cavities. We will present the first experimental test of this semiclassical approximation performed with a microwave cavity of the shape of a three-dimensional Bunimovich billiard.

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APA

Dembowski, C., Dietz, B., Gräf, H. D., Heine, A., Papenbrock, T., Richter, A., & Richter, C. (2003). Experimental Test of the Trace Formula by Balian and Duplantier. In Progress of Theoretical Physics Supplement (Vol. 150, pp. 338–342). Yukawa Institute for Theoretical Physics. https://doi.org/10.1143/PTPS.150.338

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