Regensburg 2004 – wissenschaftliches Programm
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DY: Dynamik und Statistische Physik
DY 46: Poster
DY 46.36: Poster
Donnerstag, 11. März 2004, 16:00–18:00, Poster D
Calculation of periodic orbits and spectral correlations in pseudointegrable systems — •Jesper Mellenthin and Stefanie Russ — Institut für Theoretische Physik III, Universität Giessen, D-35392 Giessen, Germany
We investigate pseudointegrable quantum billiards of different genus numbers g. We calculate numerically the periodic orbits and compare them to the Fourier transform of the density of states. We find a very good agreement between both. From the periodic orbits we calculate the spectral correlation of the corresponding quantum system, i.e. the spectral rigidity Δ3. We study how Δ3 depends on the energy and investigate the difference between the diagonal approximation and the full semiclassical expression over diagonal and non-diagonal terms. We find that Δ3 for pseudointegrable systems is intermediate between integrable and chaotic systems and that the contribution of very long orbits can be neglected.