Double-slit experimentsand decay probabilityin microwave billiardsVom Fachbereich Physiksder Technischen Universitat Darmstadtzur Erlangung des Gradeseines Doktors der Naturwissenschaften(Dr. rer. nat.)genehmigteD i s s e r t a t i o nangefertigt vonMSc. Pedro Oria Iriarteaus Pamplona (Spanien)Darmstadt 2010D 17Referent: Professor Dr. rer. nat. Dr. h.c. mult. A. RichterKorreferent: Dr. rer. nat. J. WambachTag der Einreichung: 10.02.2010Tag der Prufung: 26.04.2010AbstractThe present doctoral thesis is concerned, on the one hand, with the investi-gation of the decay probability in a quantum billiard, and, on the other, the re-alization of the double-slit experiment in microwave billiards. For both purposestransmission elements of the scattering matrix are experimentally measured inmicrowave cavities with regular and chaotic dynamics. One or more pieces of thebilliards’ boundary are removed and the leaked outward eld is investigated. Thegeneral aim is to distinguish the e ect of the billiard dynamics on the temporaldecay behaviour and on the interference patterns.The decay probability in an open quantum billiard can be explored by meansof the scattering matrix formalismus derived in the framework of nuclear physics.In a circular billiard, archetype of regular systems, the opening breaks the spatialsymmetry causing a splitting of the degenerate states observable at low frequen-cies.