Berlin 2012 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 22: Posters I

DY 22.51: Poster

Wednesday, March 28, 2012, 17:00–19:00, Poster A

Singularities in the delay-time distribution of 2D scattering systems — •Stefan Majewsky¹ and Holger Schanz^{2, 3} — ¹Computational Physics Group, Technische Universität Dresden, Institut für Theoretische Physik, 01062 Dresden — ²Institut für Maschinenbau, Hochschule Magdeburg-Stendal, 39114 Magdeburg — ³Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Straße 38, 01187 Dresden

We investigate scattering systems where the probability distribution of the time delay shows logarithmic singularities and thus a clustering of delay times near some system-specific values. The effect can be understood as a generalization of caustics to the time domain. Its dynamical origin are saddle points in the time delay function. They arise either due to the details of the dynamics in the scattering region or, in some trivial cases, as a side-effect of a coordinate transformation. We use small clusters of non-overlapping potentials as model systems and study both the classical and the quantum time delay.