18–20 Nov 2009
CERN
Europe/Zurich timezone

Spectral properties and scattering in chaotic billiards and nuclei*

19 Nov 2009, 14:00
30m
503/1-001 - Council Chamber (CERN)

503/1-001 - Council Chamber

CERN

162
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Speaker

Achim Richter (Institut fuer Kernphysik,TU Darmstadt, D-64289 Darmstadt, Germany and ECT*, Villa Tambosi, I-38100 Villazzano(Trento), Italy)

Description

Sufficiently flat microwave resonators ("microwave billiards") are well suited to study the quntum mechanical behavior of classically chaotic systems because of the formal equivalence of the respective wave equations, i.e. the Helmholtz and the Schroedinger equation. Using a superconducting 2-dimensional chaotic billiard ("stadium") as an example, it is shown that its spectral properties display universal features which are also evident in real mesoscopic systems of different scales, i.e. hadrons, nuclei, atoms, molecules and clusters. Furthermore, since such microwave resonators can be viewed as open quantum systems, measurements of the reflected and transmitted amplitudes provide generic information on chaotic quantum scattering like observed in compound nucleus reactions. This process is discussed for time reversal invariant and non-invariant systems.

Author

Achim Richter (Institut fuer Kernphysik,TU Darmstadt, D-64289 Darmstadt, Germany and ECT*, Villa Tambosi, I-38100 Villazzano(Trento), Italy)

Presentation materials