Regensburg 2007 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 24: Poster I

DY 24.13: Poster

Mittwoch, 28. März 2007, 16:00–18:00, Poster D

Level statistics and bifurcations for a Hamiltonian system — Marta Gutiérrez, •Andreas Koch, Matthias Brack, and Klaus Richter — Institut für Theoretische Physik, Universität Regensburg

We study the effect of bifurcations on the spectral form factor and rigidity of a Hamiltonian quantum system with mixed classical dynamics. The system possesses periodic librational orbits along the axes that undergo an infinite sequence of non-generic pitchfork bifurcations. We show that the signature of these bifurcations is two fold: beside the known effect of an enhanced periodic orbit contribution due to its stronger hbar dependence at the bifurcation, the orbits involved at the bifurcation give a non-diagonal contribution yielding deviations from universality.