Dresden 2009 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 21: Quantum chaos II

DY 21.2: Talk

Thursday, March 26, 2009, 10:30–10:45, ZEU 255

The semiclassical continuity equation for open chaotic systems — •Jack Kuipers, Daniel Waltner, Martha Gutiérrez, and Klaus Richter — Institut für Theoretische Physik, Universität Regensburg, D-93040 Regensburg, Germany

We consider the continuity equation for open chaotic quantum systems in the semiclassical limit, where the survival probability and the current density can be approximated by expressions involving classical trajectories. Performing an expansion based on correlated trajectories it is possible to show that the continuity equation, which links the survival probability to the current density, is satisfied within the semiclassical approximation to all orders. For this we develop recursion relation arguments which connect the trajectory structures involved for the survival probability, which travel from one point in the bulk to another, to those structures involved for the current density, which travel from the bulk to the lead.

arXiv:0811.2164